Atkin-Lehner |
2+ 3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
36630l |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
4614325056000 = 29 · 311 · 53 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- 1 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4455,50301] |
[a1,a2,a3,a4,a6] |
j |
13415107060081/6329664000 |
j-invariant |
L |
1.3801925698261 |
L(r)(E,1)/r! |
Ω |
0.69009628490294 |
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 |
12210x1 |
Quadratic twists by: -3 |