Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550jw |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
20901562500 = 22 · 3 · 58 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3438,76992] |
[a1,a2,a3,a4,a6] |
Generators |
[-1824:2144:27] |
Generators of the group modulo torsion |
j |
838561807/3900 |
j-invariant |
L |
13.393446821718 |
L(r)(E,1)/r! |
Ω |
1.2183876429866 |
Real period |
R |
5.4963815792701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020215 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110i1 95550gi1 |
Quadratic twists by: 5 -7 |