Atkin-Lehner |
2- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78292a |
Isogeny class |
Conductor |
78292 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-253806379264 = -1 · 28 · 232 · 374 |
Discriminant |
Eigenvalues |
2- 0 3 2 0 5 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,529,23782] |
[a1,a2,a3,a4,a6] |
Generators |
[834:8807:8] |
Generators of the group modulo torsion |
j |
120891312/1874161 |
j-invariant |
L |
9.0995988258847 |
L(r)(E,1)/r! |
Ω |
0.73137467576186 |
Real period |
R |
6.2208872721265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78292f1 |
Quadratic twists by: -23 |