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	864	Product of Tamagawa factors cp
Δ	65057936369061888 = 212 · 39 · 76 · 193	Discriminant
Eigenvalues	2- 3-  0 7- -6 -4  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-100580,-352249]	[a1,a2,a3,a4,a6]
Generators	[-291:2197:1]	Generators of the group modulo torsion
j	154357248921765625/89242711068672	j-invariant
L	4.4416452724758	L(r)(E,1)/r!
Ω	0.29329737264603	Real period
R	0.6309928771274	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	19152bl3 76608ce3 798e3 59850br3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2394n3

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 2394n3

-4	8	-3	5	-7	-19
19152bl3	76608ce3	798e3	59850br3	16758bd3	45486q3

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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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