Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
26928bj |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
2223081045098496 = 226 · 311 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-130179,17935490] |
[a1,a2,a3,a4,a6] |
j |
81706955619457/744505344 |
j-invariant |
L |
3.7139662392884 |
L(r)(E,1)/r! |
Ω |
0.46424577991118 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3366k1 107712ff1 8976u1 |
Quadratic twists by: -4 8 -3 |