Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200cq |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
183456000 = 28 · 32 · 53 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-148,-292] |
[a1,a2,a3,a4,a6] |
Generators |
[14:24:1] |
Generators of the group modulo torsion |
j |
11279504/5733 |
j-invariant |
L |
10.187510056042 |
L(r)(E,1)/r! |
Ω |
1.4438332590958 |
Real period |
R |
1.7639692749583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002671 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54600bv1 109200bb1 |
Quadratic twists by: -4 5 |