Atkin-Lehner |
2- 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
102240bb |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
2678994081000000 = 26 · 312 · 56 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35373,-596428] |
[a1,a2,a3,a4,a6] |
j |
104913624746944/57420140625 |
j-invariant |
L |
2.9750930002502 |
L(r)(E,1)/r! |
Ω |
0.37188663935228 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102240c1 34080i1 |
Quadratic twists by: -4 -3 |