Atkin-Lehner |
2+ 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
75920d |
Isogeny class |
Conductor |
75920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
354698240 = 210 · 5 · 13 · 732 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 0 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-216,896] |
[a1,a2,a3,a4,a6] |
j |
1093437796/346385 |
j-invariant |
L |
3.148022553611 |
L(r)(E,1)/r! |
Ω |
1.5740113062199 |
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 |
37960e1 |
Quadratic twists by: -4 |