Atkin-Lehner |
2- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46816i |
Isogeny class |
Conductor |
46816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39424 |
Modular degree for the optimal curve |
Δ |
-796995584 = -1 · 212 · 72 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3 -1 7+ 11- -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-808,-8944] |
[a1,a2,a3,a4,a6] |
j |
-14242881024/194579 |
j-invariant |
L |
3.5789345663772 |
L(r)(E,1)/r! |
Ω |
0.447366820785 |
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 |
46816b1 93632e1 |
Quadratic twists by: -4 8 |