Atkin-Lehner |
2+ 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
100920f |
Isogeny class |
Conductor |
100920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
28096128000 = 210 · 32 · 53 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -2 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-976,8860] |
[a1,a2,a3,a4,a6] |
j |
4121204/1125 |
j-invariant |
L |
2.206776299137 |
L(r)(E,1)/r! |
Ω |
1.1033882271387 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100920bo1 |
Quadratic twists by: 29 |