Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25992p |
Isogeny class |
Conductor |
25992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
2001815033029632 = 210 · 37 · 197 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 4 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53067,4183990] |
[a1,a2,a3,a4,a6] |
Generators |
[191:1008:1] |
Generators of the group modulo torsion |
j |
470596/57 |
j-invariant |
L |
5.2337249627017 |
L(r)(E,1)/r! |
Ω |
0.45013563947373 |
Real period |
R |
2.9067488239882 |
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 |
51984bc1 8664o1 1368j1 |
Quadratic twists by: -4 -3 -19 |