Atkin-Lehner |
5+ 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
70525b |
Isogeny class |
Conductor |
70525 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-185320966796875 = -1 · 510 · 72 · 13 · 313 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,14167,83443] |
[a1,a2,a3,a4,a6] |
j |
32197836800/18976867 |
j-invariant |
L |
2.0730660168423 |
L(r)(E,1)/r! |
Ω |
0.34551100292247 |
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 |
70525bb1 |
Quadratic twists by: 5 |