Atkin-Lehner |
2+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
113680d |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
1364728400 = 24 · 52 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11858,497007] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:980:1] |
Generators of the group modulo torsion |
j |
97960237056/725 |
j-invariant |
L |
5.6937232288504 |
L(r)(E,1)/r! |
Ω |
1.363204927201 |
Real period |
R |
2.0883592387581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036477 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56840b1 2320d1 |
Quadratic twists by: -4 -7 |