Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15730bb |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
157300000000 = 28 · 58 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -1 5- 2 11- 13- 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1350,67] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:131:1] |
Generators of the group modulo torsion |
j |
2248846192681/1300000000 |
j-invariant |
L |
7.0215994141059 |
L(r)(E,1)/r! |
Ω |
0.86897206198533 |
Real period |
R |
0.12625548696554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125840cp1 78650e1 15730l1 |
Quadratic twists by: -4 5 -11 |