Atkin-Lehner |
2- 3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
117648cd |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-152471808 = -1 · 28 · 36 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 0 0 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9,594] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:18:1] |
Generators of the group modulo torsion |
j |
432/817 |
j-invariant |
L |
4.3873535305542 |
L(r)(E,1)/r! |
Ω |
1.4318957596252 |
Real period |
R |
1.532008702799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29412d1 13072h1 |
Quadratic twists by: -4 -3 |