Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67626j |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
202216539409092 = 22 · 36 · 132 · 177 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23463,1208169] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:971:1] [-21:1311:1] |
Generators of the group modulo torsion |
j |
81182737/11492 |
j-invariant |
L |
6.9414793538392 |
L(r)(E,1)/r! |
Ω |
0.54203571474657 |
Real period |
R |
1.6007892019267 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7514g1 3978c1 |
Quadratic twists by: -3 17 |