Atkin-Lehner |
2- 11- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
68816k |
Isogeny class |
Conductor |
68816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-203199197741056 = -1 · 232 · 112 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 0 -2 0 11- -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10309,-555030] |
[a1,a2,a3,a4,a6] |
Generators |
[486:10920:1] |
Generators of the group modulo torsion |
j |
29581036207983/49609179136 |
j-invariant |
L |
3.7375069218649 |
L(r)(E,1)/r! |
Ω |
0.2967051848948 |
Real period |
R |
6.2983512105744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002497 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8602c1 |
Quadratic twists by: -4 |