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	12810n	Isogeny class
Conductor	12810	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	-1.2116692853203E+25	Discriminant
Eigenvalues	2- 3+ 5- 7+  4  6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,13107545,-166470584275]	[a1,a2,a3,a4,a6]
j	249050708870707455925585679/12116692853202597701202000	j-invariant
L	3.2798244430498	L(r)(E,1)/r!
Ω	0.034164837948435	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	102480cn5 38430i5 64050bf5 89670cb5	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 12810n6

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	-6	-4	-8	-2	8	-2	10	-4	8	6	12	-	4	-16	-14	16	-4	10	10

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Quadratic twists for elliptic curve 12810n6

-4	-3	5	-7
102480cn5	38430i5	64050bf5	89670cb5

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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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