Atkin-Lehner |
2- 3- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129456bs |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
162315379635388416 = 222 · 316 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 2 2 -6 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3414963,2428920434] |
[a1,a2,a3,a4,a6] |
j |
1475007551187050161/54359092224 |
j-invariant |
L |
1.2101611498176 |
L(r)(E,1)/r! |
Ω |
0.30254067594945 |
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 |
16182g1 43152m1 |
Quadratic twists by: -4 -3 |