Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
25168bm |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
49894653952 = 218 · 114 · 13 |
Discriminant |
Eigenvalues |
2- -1 0 -2 11- 13- 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1008,-5696] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:64:1] [-14:74:1] |
Generators of the group modulo torsion |
j |
1890625/832 |
j-invariant |
L |
6.4913262929152 |
L(r)(E,1)/r! |
Ω |
0.88225110188074 |
Real period |
R |
1.8394214184251 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3146o1 100672cm1 25168y1 |
Quadratic twists by: -4 8 -11 |