Atkin-Lehner |
2- 5+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
88550bv |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
757120 |
Modular degree for the optimal curve |
Δ |
1857028096000000 = 226 · 56 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11- 3 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-322438,-70468508] |
[a1,a2,a3,a4,a6] |
j |
237269779307308441/118849798144 |
j-invariant |
L |
5.2092402545903 |
L(r)(E,1)/r! |
Ω |
0.20035539884412 |
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 |
3542a1 |
Quadratic twists by: 5 |