Cremona's table of elliptic curves

7055 = 5 · 17 · 83

Field	Data	Notes
Atkin-Lehner	5- 17- 83+	Signs for the Atkin-Lehner involutions
Class	7055a	Isogeny class
Conductor	7055	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	6600	Modular degree for the optimal curve
Δ	589240655 = 5 · 175 · 83	Discriminant
Eigenvalues	1 -2 5- -4  3 -1 17- -3	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-6078,181853]	[a1,a2,a3,a4,a6]
Generators	[17:280:1]	Generators of the group modulo torsion
j	24825790198998361/589240655	j-invariant
L	2.9632002117993	L(r)(E,1)/r!
Ω	1.5108508681088	Real period
R	0.39225581747965	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	112880t1 63495i1 35275b1 119935a1	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 7055a1

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	-2	-	-4	3	-1	-	-3	4	8	-5	-7	-4	-6	6	5	12	0	12	-6	-4	16	+	2	8

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Quadratic twists for elliptic curve 7055a1

-4	-3	5	17
112880t1	63495i1	35275b1	119935a1

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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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