Atkin-Lehner |
2- 3- 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
25398u |
Isogeny class |
Conductor |
25398 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
Δ |
-5.0724981589999E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-994604,513260975] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:25465:1] |
Generators of the group modulo torsion |
j |
-149261011008345920377/69581593401919488 |
j-invariant |
L |
9.4692992154171 |
L(r)(E,1)/r! |
Ω |
0.18697966559718 |
Real period |
R |
0.57549398518171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8466f2 |
Quadratic twists by: -3 |