Atkin-Lehner |
2+ 3- 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650r |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
407371680000000000 = 214 · 34 · 510 · 17 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-402376,93285398] |
[a1,a2,a3,a4,a6] |
j |
461103418142394481/26071787520000 |
j-invariant |
L |
2.3583031690568 |
L(r)(E,1)/r! |
Ω |
0.29478787715791 |
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 |
21930bf1 |
Quadratic twists by: 5 |