Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
125840bn |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-522312954385530880 = -1 · 218 · 5 · 119 · 132 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 11- 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,201304,-805264] |
[a1,a2,a3,a4,a6] |
Generators |
[1562190:46683494:3375] |
Generators of the group modulo torsion |
j |
124326214271/71980480 |
j-invariant |
L |
8.2182562225149 |
L(r)(E,1)/r! |
Ω |
0.17456723254294 |
Real period |
R |
5.8847357119901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000317 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15730f1 11440i1 |
Quadratic twists by: -4 -11 |