Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4046s |
Isogeny class |
Conductor |
4046 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34272 |
Modular degree for the optimal curve |
Δ |
781284833392 = 24 · 7 · 178 |
Discriminant |
Eigenvalues |
2- 1 -4 7- 0 -2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-345650,-78246124] |
[a1,a2,a3,a4,a6] |
j |
654699641761/112 |
j-invariant |
L |
2.3627711443206 |
L(r)(E,1)/r! |
Ω |
0.19689759536005 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32368r1 129472bo1 36414bp1 101150k1 |
Quadratic twists by: -4 8 -3 5 |