Atkin-Lehner |
2- 3- 5- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410bi |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
1911842629117200 = 24 · 318 · 52 · 132 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49082,-3605911] |
[a1,a2,a3,a4,a6] |
j |
17937199637419609/2622555046800 |
j-invariant |
L |
5.1821629597002 |
L(r)(E,1)/r! |
Ω |
0.32388518448108 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28470i1 |
Quadratic twists by: -3 |