Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200ht |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
3080000 = 26 · 54 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11- -5 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1083,-13363] |
[a1,a2,a3,a4,a6] |
Generators |
[-13572:235:729] |
Generators of the group modulo torsion |
j |
3515200000/77 |
j-invariant |
L |
10.838272052473 |
L(r)(E,1)/r! |
Ω |
0.83216529325862 |
Real period |
R |
4.3413939342078 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999845357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200gz1 61600ca1 123200ez1 |
Quadratic twists by: -4 8 5 |