Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
34914y |
Isogeny class |
Conductor |
34914 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
4423133832037866 = 2 · 310 · 11 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 3 -3 11- 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-313179,67252143] |
[a1,a2,a3,a4,a6] |
j |
22947463187713/29878794 |
j-invariant |
L |
3.4822020857614 |
L(r)(E,1)/r! |
Ω |
0.43527526072187 |
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 |
104742r1 1518l1 |
Quadratic twists by: -3 -23 |