Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41140q |
Isogeny class |
Conductor |
41140 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
139392 |
Modular degree for the optimal curve |
Δ |
36441009770000 = 24 · 54 · 118 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- 4 11- 5 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18190,-904587] |
[a1,a2,a3,a4,a6] |
Generators |
[161:605:1] |
Generators of the group modulo torsion |
j |
194081536/10625 |
j-invariant |
L |
5.2940184965827 |
L(r)(E,1)/r! |
Ω |
0.41249443942022 |
Real period |
R |
1.0695131034228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41140n1 |
Quadratic twists by: -11 |