Atkin-Lehner |
2- 3- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
76752cm |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
25543680 |
Modular degree for the optimal curve |
Δ |
-17633304630669312 = -1 · 212 · 37 · 134 · 413 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 -5 13- 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1369116048,-19498827855440] |
[a1,a2,a3,a4,a6] |
Generators |
[28514065720:11160409333905:175616] |
Generators of the group modulo torsion |
j |
-95051071934010512925700096/5905358043 |
j-invariant |
L |
8.5770892326938 |
L(r)(E,1)/r! |
Ω |
0.012409648881663 |
Real period |
R |
14.399227626697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4797d1 25584z1 |
Quadratic twists by: -4 -3 |