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	12810q	Isogeny class
Conductor	12810	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	258720	Modular degree for the optimal curve
Δ	-1655692156405120050 = -1 · 2 · 311 · 52 · 77 · 613	Discriminant
Eigenvalues	2- 3+ 5- 7-  1  1 -4  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-541930,165338825]	[a1,a2,a3,a4,a6]
j	-17601648414020685090721/1655692156405120050	j-invariant
L	3.6415232699991	L(r)(E,1)/r!
Ω	0.26010880499993	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	102480ce1 38430l1 64050p1 89670ch1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 12810q1

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
-	+	-	-	1	1	-4	8	-2	0	4	1	-7	-6	-2	12	10	+	6	8	4	-9	9	8	-8

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Quadratic twists for elliptic curve 12810q1

-4	-3	5	-7
102480ce1	38430l1	64050p1	89670ch1

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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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