Atkin-Lehner |
2+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
32912j |
Isogeny class |
Conductor |
32912 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
16850322917648 = 24 · 118 · 173 |
Discriminant |
Eigenvalues |
2+ 0 0 -4 11- -3 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33275,-2327919] |
[a1,a2,a3,a4,a6] |
Generators |
[-830:697:8] |
Generators of the group modulo torsion |
j |
1188000000/4913 |
j-invariant |
L |
3.7531214349839 |
L(r)(E,1)/r! |
Ω |
0.35357217810718 |
Real period |
R |
3.5382888015263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16456g1 32912a1 |
Quadratic twists by: -4 -11 |