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	2394n	Isogeny class
Conductor	2394	Conductor
∏ cp	432	Product of Tamagawa factors cp
Δ	548846319697324992 = 26 · 312 · 73 · 196	Discriminant
Eigenvalues	2- 3-  0 7- -6 -4  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1088420,435877895]	[a1,a2,a3,a4,a6]
Generators	[645:1045:1]	Generators of the group modulo torsion
j	195607431345044517625/752875610010048	j-invariant
L	4.4416452724758	L(r)(E,1)/r!
Ω	0.29329737264603	Real period
R	1.2619857542548	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	19152bl4 76608ce4 798e4 59850br4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2394n4

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	-	-6	-4	0	-	-6	-6	-4	2	6	8	-12	-6	12	-10	14	12	2	-10	-12	-18	8

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Quadratic twists for elliptic curve 2394n4

-4	8	-3	5	-7	-19
19152bl4	76608ce4	798e4	59850br4	16758bd4	45486q4

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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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