Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
15840bh |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-320760000000 = -1 · 29 · 36 · 57 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 11- -2 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29307,1931294] |
[a1,a2,a3,a4,a6] |
Generators |
[113:250:1] |
Generators of the group modulo torsion |
j |
-7458308028872/859375 |
j-invariant |
L |
5.7007302236119 |
L(r)(E,1)/r! |
Ω |
0.9278009237914 |
Real period |
R |
0.43888188244985 |
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 |
15840bd1 31680cp1 1760a1 79200bt1 |
Quadratic twists by: -4 8 -3 5 |