Atkin-Lehner |
2- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19240i |
Isogeny class |
Conductor |
19240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
106734218614400000 = 210 · 55 · 13 · 376 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 6 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-148616,-15417220] |
[a1,a2,a3,a4,a6] |
Generators |
[-768352772429279143:-9655602022125121476:3870854390601197] |
Generators of the group modulo torsion |
j |
354505830225180196/104232635365625 |
j-invariant |
L |
7.4099864396346 |
L(r)(E,1)/r! |
Ω |
0.2486461964495 |
Real period |
R |
29.801326324087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38480c1 96200a1 |
Quadratic twists by: -4 5 |