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	2394a	Isogeny class
Conductor	2394	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	241415748 = 22 · 33 · 76 · 19	Discriminant
Eigenvalues	2+ 3+  0 7-  0  2 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-687,7065]	[a1,a2,a3,a4,a6]
Generators	[-23:113:1]	Generators of the group modulo torsion
j	1329185824875/8941324	j-invariant
L	2.454843576762	L(r)(E,1)/r!
Ω	1.7673933745207	Real period
R	2.0834441376932	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	19152bd1 76608h1 2394g3 59850ds1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2394a1

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

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Quadratic twists for elliptic curve 2394a1

-4	8	-3	5	-7	-19
19152bd1	76608h1	2394g3	59850ds1	16758a1	45486w1

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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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