Atkin-Lehner |
2- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
76700a |
Isogeny class |
Conductor |
76700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
75456 |
Modular degree for the optimal curve |
Δ |
-958750000 = -1 · 24 · 57 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 3 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6633,-205738] |
[a1,a2,a3,a4,a6] |
j |
-129115734016/3835 |
j-invariant |
L |
4.7611112774909 |
L(r)(E,1)/r! |
Ω |
0.26450618375601 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15340d1 |
Quadratic twists by: 5 |