Atkin-Lehner |
2- 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200dj |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
388800 |
Modular degree for the optimal curve |
Δ |
218358281250000 = 24 · 39 · 510 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 3 4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15833,-292662] |
[a1,a2,a3,a4,a6] |
j |
2809446400/1397493 |
j-invariant |
L |
4.0323752432957 |
L(r)(E,1)/r! |
Ω |
0.44804169711591 |
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 |
21300c1 85200cs1 |
Quadratic twists by: -4 5 |