Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23120bh |
Isogeny class |
Conductor |
23120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
42018680115200 = 212 · 52 · 177 |
Discriminant |
Eigenvalues |
2- 2 5- -2 2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39400,3007152] |
[a1,a2,a3,a4,a6] |
Generators |
[-198:1734:1] |
Generators of the group modulo torsion |
j |
68417929/425 |
j-invariant |
L |
7.9796289498521 |
L(r)(E,1)/r! |
Ω |
0.64658273721919 |
Real period |
R |
1.5426542672966 |
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 |
1445d1 92480dk1 115600ca1 1360g1 |
Quadratic twists by: -4 8 5 17 |