Cremona's table of elliptic curves

2438 = 2 · 23 · 53

Field	Data	Notes
Atkin-Lehner	2+ 23- 53-	Signs for the Atkin-Lehner involutions
Class	2438a	Isogeny class
Conductor	2438	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	182520	Modular degree for the optimal curve
Δ	-6.406285377072E+21	Discriminant
Eigenvalues	2+  2  1 -2 -4  5 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-4195042,5074327668]	[a1,a2,a3,a4,a6]
Generators	[132636:8600818:27]	Generators of the group modulo torsion
j	-8164560540209513880634921/6406285377072000925696	j-invariant
L	3.1870521013877	L(r)(E,1)/r!
Ω	0.12280083557441	Real period
R	1.4418342452548	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	19504h1 78016g1 21942f1 60950e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2438a1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	2	1	-2	-4	5	-6	-4	-	3	-2	-6	2	-2	13	-	-11	-7	-11	12	-12	11	-5	-10	-6

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Quadratic twists for elliptic curve 2438a1

-4	8	-3	5	-7	-23	53
19504h1	78016g1	21942f1	60950e1	119462h1	56074a1	129214c1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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