Atkin-Lehner |
2+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83600i |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-836000000000 = -1 · 211 · 59 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 11+ 5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,43988] |
[a1,a2,a3,a4,a6] |
j |
-2/26125 |
j-invariant |
L |
2.8339338840235 |
L(r)(E,1)/r! |
Ω |
0.70848346746299 |
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 |
41800a1 16720n1 |
Quadratic twists by: -4 5 |