Atkin-Lehner |
2- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
56108a |
Isogeny class |
Conductor |
56108 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17568 |
Modular degree for the optimal curve |
Δ |
18627856 = 24 · 132 · 832 |
Discriminant |
Eigenvalues |
2- -1 2 -1 5 13+ 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-342,-2315] |
[a1,a2,a3,a4,a6] |
j |
1640833792/6889 |
j-invariant |
L |
2.2203781656078 |
L(r)(E,1)/r! |
Ω |
1.1101890816075 |
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 |
56108d1 |
Quadratic twists by: 13 |