Atkin-Lehner |
2- 3- 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650dt |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
396480 |
Modular degree for the optimal curve |
Δ |
2935950000000 = 27 · 3 · 58 · 232 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -2 5 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3888,43392] |
[a1,a2,a3,a4,a6] |
j |
16639850785/7516032 |
j-invariant |
L |
10.084630070917 |
L(r)(E,1)/r! |
Ω |
0.7203308656039 |
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 |
127650c1 |
Quadratic twists by: 5 |