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	12810g	Isogeny class
Conductor	12810	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	2907626610 = 2 · 3 · 5 · 7 · 614	Discriminant
Eigenvalues	2+ 3- 5- 7-  4  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1198,15638]	[a1,a2,a3,a4,a6]
j	189920981015641/2907626610	j-invariant
L	2.8638219933046	L(r)(E,1)/r!
Ω	1.4319109966523	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	102480bj3 38430bk3 64050bp3 89670i3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 12810g4

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

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Quadratic twists for elliptic curve 12810g4

-4	-3	5	-7
102480bj3	38430bk3	64050bp3	89670i3

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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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