Atkin-Lehner |
2- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
25232m |
Isogeny class |
Conductor |
25232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-33508096 = -1 · 28 · 19 · 832 |
Discriminant |
Eigenvalues |
2- 2 1 -1 3 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5245,147969] |
[a1,a2,a3,a4,a6] |
Generators |
[81:498:1] |
Generators of the group modulo torsion |
j |
-62345200132096/130891 |
j-invariant |
L |
8.0028776668829 |
L(r)(E,1)/r! |
Ω |
1.7840473799891 |
Real period |
R |
1.1214497098911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6308d1 100928y1 |
Quadratic twists by: -4 8 |