Atkin-Lehner |
2- 5+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550br |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
30585600 |
Modular degree for the optimal curve |
Δ |
3.3509457147461E+22 |
Discriminant |
Eigenvalues |
2- 3 5+ -4 11+ 13- 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42367605,-105768251603] |
[a1,a2,a3,a4,a6] |
j |
538276499967885688957401/2144605257437500000 |
j-invariant |
L |
8.8784341402627 |
L(r)(E,1)/r! |
Ω |
0.059189566447344 |
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 |
24310j1 |
Quadratic twists by: 5 |