Atkin-Lehner |
2- 3- 13- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25194z |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
1867367657705472 = 212 · 32 · 134 · 173 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 13- 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-336154,74959460] |
[a1,a2,a3,a4,a6] |
Generators |
[308:662:1] |
Generators of the group modulo torsion |
j |
4200864206618439543457/1867367657705472 |
j-invariant |
L |
8.810867691198 |
L(r)(E,1)/r! |
Ω |
0.46155184330005 |
Real period |
R |
0.53026832913414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
75582k1 |
Quadratic twists by: -3 |