Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176v |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
-2.7532758838135E+21 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -5 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15685059,24042786014] |
[a1,a2,a3,a4,a6] |
j |
-59219479733906/382060497 |
j-invariant |
L |
0.57719862675811 |
L(r)(E,1)/r! |
Ω |
0.14429964445363 |
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 |
28392s1 6552x1 |
Quadratic twists by: -3 13 |