Atkin-Lehner |
2- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57664bh |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
834048 |
Modular degree for the optimal curve |
Δ |
4266213376 = 214 · 173 · 53 |
Discriminant |
Eigenvalues |
2- -1 -1 2 -4 -5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11997941,15999882157] |
[a1,a2,a3,a4,a6] |
Generators |
[250020:17:125] |
Generators of the group modulo torsion |
j |
11657997957801459245056/260389 |
j-invariant |
L |
3.010139717336 |
L(r)(E,1)/r! |
Ω |
0.4949929885496 |
Real period |
R |
2.0270588250579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999744 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57664j1 14416k1 |
Quadratic twists by: -4 8 |