Atkin-Lehner |
5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
25075i |
Isogeny class |
Conductor |
25075 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-9457024104296875 = -1 · 58 · 177 · 59 |
Discriminant |
Eigenvalues |
-2 -2 5+ 0 -3 2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-25908,4937844] |
[a1,a2,a3,a4,a6] |
Generators |
[243:-3613:1] [-7:2262:1] |
Generators of the group modulo torsion |
j |
-123089813622784/605249542675 |
j-invariant |
L |
3.0552255584965 |
L(r)(E,1)/r! |
Ω |
0.35530890006153 |
Real period |
R |
0.61419907296917 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5015a1 |
Quadratic twists by: 5 |