Atkin-Lehner |
2- 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
125426q |
Isogeny class |
Conductor |
125426 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
79144705117786112 = 212 · 72 · 177 · 312 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4825921,4081731025] |
[a1,a2,a3,a4,a6] |
Generators |
[-1177:90756:1] |
Generators of the group modulo torsion |
j |
514956713316561153/3278901248 |
j-invariant |
L |
9.2257940881911 |
L(r)(E,1)/r! |
Ω |
0.30594586131384 |
Real period |
R |
2.5129157486842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011389 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7378p1 |
Quadratic twists by: 17 |