Atkin-Lehner |
2- 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
25232g |
Isogeny class |
Conductor |
25232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
177219878912 = 214 · 194 · 83 |
Discriminant |
Eigenvalues |
2- 0 -2 0 -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28451,-1847006] |
[a1,a2,a3,a4,a6] |
Generators |
[11991187:885458634:2197] |
Generators of the group modulo torsion |
j |
621808094281977/43266572 |
j-invariant |
L |
3.7182249358605 |
L(r)(E,1)/r! |
Ω |
0.36760125379708 |
Real period |
R |
10.114832029145 |
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 |
3154b3 100928bb4 |
Quadratic twists by: -4 8 |