Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848bc |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-58188380811264 = -1 · 212 · 36 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 11- 2 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2904,-362032] |
[a1,a2,a3,a4,a6] |
Generators |
[5192:374132:1] |
Generators of the group modulo torsion |
j |
512/11 |
j-invariant |
L |
6.2290617348145 |
L(r)(E,1)/r! |
Ω |
0.30383243495702 |
Real period |
R |
5.1254087929225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34848ch1 69696dl1 3872k1 3168ba1 |
Quadratic twists by: -4 8 -3 -11 |