Atkin-Lehner |
2- 3+ 11- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
25806i |
Isogeny class |
Conductor |
25806 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
1291538688 = 28 · 3 · 11 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-273,-273] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:24:1] |
Generators of the group modulo torsion |
j |
2250666132625/1291538688 |
j-invariant |
L |
6.9318067046556 |
L(r)(E,1)/r! |
Ω |
1.2752185614357 |
Real period |
R |
0.6794724169529 |
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 |
77418h1 |
Quadratic twists by: -3 |