Cremona's table of elliptic curves

2378 = 2 · 29 · 41

Field	Data	Notes
Atkin-Lehner	2- 29- 41-	Signs for the Atkin-Lehner involutions
Class	2378d	Isogeny class
Conductor	2378	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-4755757444 = -1 · 22 · 294 · 412	Discriminant
Eigenvalues	2-  2  2  2  2 -2  2  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-697,7531]	[a1,a2,a3,a4,a6]
j	-37450790494993/4755757444	j-invariant
L	5.3208506212666	L(r)(E,1)/r!
Ω	1.3302126553167	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	19024e2 76096b2 21402b2 59450f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2378d2

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

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Quadratic twists for elliptic curve 2378d2

-4	8	-3	5	-7	29	41
19024e2	76096b2	21402b2	59450f2	116522p2	68962c2	97498h2

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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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