Atkin-Lehner |
3- 5+ 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40755m |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
635904 |
Modular degree for the optimal curve |
Δ |
438135481265625 = 38 · 56 · 113 · 132 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11+ 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3456149,2472783491] |
[a1,a2,a3,a4,a6] |
j |
4565631999986103653231689/438135481265625 |
j-invariant |
L |
3.2520231612015 |
L(r)(E,1)/r! |
Ω |
0.4065028951481 |
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 |
122265bb1 |
Quadratic twists by: -3 |