Atkin-Lehner |
2- 3+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62868a |
Isogeny class |
Conductor |
62868 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-21546875376 = -1 · 24 · 32 · 136 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 0 13+ -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1070,15573] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:169:1] [-1:129:1] |
Generators of the group modulo torsion |
j |
-1755904/279 |
j-invariant |
L |
9.5396753555927 |
L(r)(E,1)/r! |
Ω |
1.1661515148571 |
Real period |
R |
2.045119187786 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
372a1 |
Quadratic twists by: 13 |