Atkin-Lehner |
3+ 7- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
117453l |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
69115200 |
Modular degree for the optimal curve |
Δ |
2.2245000437546E+27 |
Discriminant |
Eigenvalues |
0 3+ -3 7- -3 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-602013967,5213070508932] |
[a1,a2,a3,a4,a6] |
j |
205095047944763221180383232/18907938390930371630541 |
j-invariant |
L |
0.6297512998383 |
L(r)(E,1)/r! |
Ω |
0.044982222107778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2397b1 |
Quadratic twists by: -7 |