Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720cb |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-3192778096640 = -1 · 215 · 5 · 117 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 11- -2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,-85919] |
[a1,a2,a3,a4,a6] |
Generators |
[48:121:1] |
Generators of the group modulo torsion |
j |
-8/55 |
j-invariant |
L |
4.0041023177795 |
L(r)(E,1)/r! |
Ω |
0.36246948464025 |
Real period |
R |
1.3808411767935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720by1 19360i1 3520x1 |
Quadratic twists by: -4 8 -11 |