Atkin-Lehner |
2+ 3- 7- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
118818q |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2072576 |
Modular degree for the optimal curve |
Δ |
1433050949370249216 = 222 · 38 · 74 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 6 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-307431,31500157] |
[a1,a2,a3,a4,a6] |
j |
4407983413020449137/1965776336584704 |
j-invariant |
L |
1.9372965427373 |
L(r)(E,1)/r! |
Ω |
0.24216210932364 |
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 |
39606m1 |
Quadratic twists by: -3 |