Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67626k |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4128768 |
Modular degree for the optimal curve |
Δ |
5.4343381608983E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4601223,1362094141] |
[a1,a2,a3,a4,a6] |
j |
612241204436497/308834353152 |
j-invariant |
L |
0.9594101455296 |
L(r)(E,1)/r! |
Ω |
0.11992626862789 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22542u1 3978d1 |
Quadratic twists by: -3 17 |