Cremona's table of elliptic curves

8295 = 3 · 5 · 7 · 79

Field	Data	Notes
Atkin-Lehner	3- 5- 7- 79-	Signs for the Atkin-Lehner involutions
Class	8295h	Isogeny class
Conductor	8295	Conductor
∏ cp	210	Product of Tamagawa factors cp
deg	151200	Modular degree for the optimal curve
Δ	119880930577423365 = 310 · 5 · 77 · 793	Discriminant
Eigenvalues	-2 3- 5- 7- -3 -3 -4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-528760,146874574]	[a1,a2,a3,a4,a6]
Generators	[383:829:1]	Generators of the group modulo torsion
j	16349343377598980263936/119880930577423365	j-invariant
L	2.7092372586618	L(r)(E,1)/r!
Ω	0.33314290041552	Real period
R	0.038725513246899	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	24885g1 41475c1 58065e1	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 8295h1

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	-3	-4	-2	8	-8	-2	7	-3	1	-4	10	1	10	4	6	1	-	-1	0	3

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Quadratic twists for elliptic curve 8295h1

-3	5	-7
24885g1	41475c1	58065e1

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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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