Cremona's table of elliptic curves

12810 = 2 · 3 · 5 · 7 · 61

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7- 61-	Signs for the Atkin-Lehner involutions
Class	12810w	Isogeny class
Conductor	12810	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	119626056900 = 22 · 38 · 52 · 72 · 612	Discriminant
Eigenvalues	2- 3- 5- 7-  0  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1560,-17028]	[a1,a2,a3,a4,a6]
j	419870059539841/119626056900	j-invariant
L	6.2089300669686	L(r)(E,1)/r!
Ω	0.77611625837107	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	102480bm2 38430n2 64050b2 89670bh2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 12810w2

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

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Quadratic twists for elliptic curve 12810w2

-4	-3	5	-7
102480bm2	38430n2	64050b2	89670bh2

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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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