Cremona's table of elliptic curves

2394 = 2 · 3² · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 19+	Signs for the Atkin-Lehner involutions
Class	2394j	Isogeny class
Conductor	2394	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	512	Modular degree for the optimal curve
Δ	32577552 = 24 · 37 · 72 · 19	Discriminant
Eigenvalues	2- 3-  0 7+ -2 -4  0 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-95,-201]	[a1,a2,a3,a4,a6]
Generators	[-7:12:1]	Generators of the group modulo torsion
j	128787625/44688	j-invariant
L	4.3606743566117	L(r)(E,1)/r!
Ω	1.5738960875217	Real period
R	0.69265601318672	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	19152bx1 76608bq1 798a1 59850bz1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2394j1

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
-	-	0	+	-2	-4	0	+	-2	-6	-4	-6	6	0	4	10	4	-2	-6	-12	-14	-14	-4	14	-8

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Quadratic twists for elliptic curve 2394j1

-4	8	-3	5	-7	-19
19152bx1	76608bq1	798a1	59850bz1	16758bl1	45486h1

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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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