Atkin-Lehner |
2- 11- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
105754x |
Isogeny class |
Conductor |
105754 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
648384 |
Modular degree for the optimal curve |
Δ |
-521394109329302 = -1 · 2 · 1110 · 19 · 232 |
Discriminant |
Eigenvalues |
2- -3 0 0 11- -3 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4575,1090983] |
[a1,a2,a3,a4,a6] |
Generators |
[1076:68729:64] |
Generators of the group modulo torsion |
j |
408375/20102 |
j-invariant |
L |
5.0021422036668 |
L(r)(E,1)/r! |
Ω |
0.39589475086245 |
Real period |
R |
6.3175152104977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999660292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105754g1 |
Quadratic twists by: -11 |