Cremona's table of elliptic curves

6760 = 2³ · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2- 5- 13+	Signs for the Atkin-Lehner involutions
Class	6760l	Isogeny class
Conductor	6760	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	37440	Modular degree for the optimal curve
Δ	-1411670956533760 = -1 · 211 · 5 · 1310	Discriminant
Eigenvalues	2-  2 5- -3  5 13+ -2 -5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-9520,-1839540]	[a1,a2,a3,a4,a6]
Generators	[429531746345193:-935671376935889742:90518849]	Generators of the group modulo torsion
j	-338/5	j-invariant
L	5.6706748043501	L(r)(E,1)/r!
Ω	0.20555820525997	Real period
R	27.586711010531	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	13520l1 54080t1 60840o1 33800h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6760l1

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	-	-3	5	+	-2	-5	-8	0	-8	9	2	-6	7	-13	0	4	0	-14	-10	-4	18	-9	-2

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Quadratic twists for elliptic curve 6760l1

-4	8	-3	5	13
13520l1	54080t1	60840o1	33800h1	6760d1

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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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