Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600ew |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
652800000000 = 215 · 3 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 1 6 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28833,1874463] |
[a1,a2,a3,a4,a6] |
j |
207108680/51 |
j-invariant |
L |
5.3238451218537 |
L(r)(E,1)/r! |
Ω |
0.88730752386862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600cf1 40800bn1 81600k1 |
Quadratic twists by: -4 8 5 |