Atkin-Lehner |
2- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23920o |
Isogeny class |
Conductor |
23920 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
2798301675520 = 216 · 5 · 135 · 23 |
Discriminant |
Eigenvalues |
2- -3 5- -3 2 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10267,-392246] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:22:1] |
Generators of the group modulo torsion |
j |
29220958012401/683179120 |
j-invariant |
L |
3.0543463846797 |
L(r)(E,1)/r! |
Ω |
0.47496007936176 |
Real period |
R |
3.2153716884839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2990i1 95680bl1 119600bu1 |
Quadratic twists by: -4 8 5 |