Atkin-Lehner |
2- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
32912bb |
Isogeny class |
Conductor |
32912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
7894869475328 = 218 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 2 0 -4 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5848,108528] |
[a1,a2,a3,a4,a6] |
j |
3048625/1088 |
j-invariant |
L |
1.3554934942824 |
L(r)(E,1)/r! |
Ω |
0.67774674714289 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4114b1 272d1 |
Quadratic twists by: -4 -11 |