Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26928bz |
Isogeny class |
Conductor |
26928 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-1148585619456 = -1 · 212 · 36 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 11- 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1536,46064] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:187:1] |
Generators of the group modulo torsion |
j |
134217728/384659 |
j-invariant |
L |
3.7522350036238 |
L(r)(E,1)/r! |
Ω |
0.61044309961985 |
Real period |
R |
1.0244566626986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1683h1 107712ec1 2992f1 |
Quadratic twists by: -4 8 -3 |