Atkin-Lehner |
2- 3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310cd |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
4.8768866184472E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2611742,-1228322131] |
[a1,a2,a3,a4,a6] |
j |
2702631580353663164569/668983075232808960 |
j-invariant |
L |
4.3527662108526 |
L(r)(E,1)/r! |
Ω |
0.12091017249245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770d1 |
Quadratic twists by: -3 |