Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38720by |
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 |
[95:968:1] |
Generators of the group modulo torsion |
j |
-8/55 |
j-invariant |
L |
4.542631301316 |
L(r)(E,1)/r! |
Ω |
0.63856685997658 |
Real period |
R |
0.88922389847381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38720cb1 19360k1 3520q1 |
Quadratic twists by: -4 8 -11 |