Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
95550fn |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
931612500000 = 25 · 32 · 58 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13- -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-71076,7287298] |
[a1,a2,a3,a4,a6] |
Generators |
[152:-39:1] |
Generators of the group modulo torsion |
j |
2074568359465/48672 |
j-invariant |
L |
6.1478385321719 |
L(r)(E,1)/r! |
Ω |
0.81754200497064 |
Real period |
R |
0.62665878519154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999610211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95550gk1 95550by1 |
Quadratic twists by: 5 -7 |