Atkin-Lehner |
2+ 7+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
100688c |
Isogeny class |
Conductor |
100688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
45108224 = 210 · 72 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 2 1 7+ 4 0 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,-352] |
[a1,a2,a3,a4,a6] |
j |
188183524/44051 |
j-invariant |
L |
5.8633205428899 |
L(r)(E,1)/r! |
Ω |
1.4658301381934 |
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 |
50344b1 |
Quadratic twists by: -4 |