Atkin-Lehner |
3+ 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115311i |
Isogeny class |
Conductor |
115311 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
12441600 |
Modular degree for the optimal curve |
Δ |
1.1073280829871E+21 |
Discriminant |
Eigenvalues |
2 3+ -1 7- 2 -5 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-25342506,-49070077405] |
[a1,a2,a3,a4,a6] |
j |
74572529560399507456/45875708650989 |
j-invariant |
L |
1.3458085381273 |
L(r)(E,1)/r! |
Ω |
0.067290413990473 |
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 |
6783d1 |
Quadratic twists by: 17 |