Atkin-Lehner |
2+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46784n |
Isogeny class |
Conductor |
46784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
128749568 = 212 · 17 · 432 |
Discriminant |
Eigenvalues |
2+ -2 2 4 4 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-137,247] |
[a1,a2,a3,a4,a6] |
j |
69934528/31433 |
j-invariant |
L |
3.326363520185 |
L(r)(E,1)/r! |
Ω |
1.6631817600671 |
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 |
46784r1 23392d1 |
Quadratic twists by: -4 8 |