Atkin-Lehner |
2- 3+ 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56550bh |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-860125500000 = -1 · 25 · 33 · 56 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 3 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2112,25281] |
[a1,a2,a3,a4,a6] |
j |
66676466375/55048032 |
j-invariant |
L |
5.749472502342 |
L(r)(E,1)/r! |
Ω |
0.57494725029742 |
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 |
2262g1 |
Quadratic twists by: 5 |