Cremona's table of elliptic curves

2436 = 2² · 3 · 7 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 29-	Signs for the Atkin-Lehner involutions
Class	2436c	Isogeny class
Conductor	2436	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	484507070208 = 28 · 38 · 73 · 292	Discriminant
Eigenvalues	2- 3-  2 7+ -2  6  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2612,-39852]	[a1,a2,a3,a4,a6]
j	7701397204048/1892605743	j-invariant
L	2.7191246526657	L(r)(E,1)/r!
Ω	0.67978116316642	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	9744j2 38976c2 7308c2 60900b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2436c2

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

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Quadratic twists for elliptic curve 2436c2

-4	8	-3	5	-7	29
9744j2	38976c2	7308c2	60900b2	17052g2	70644b2

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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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