Atkin-Lehner |
2- 3+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
85608k |
Isogeny class |
Conductor |
85608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-17711096688 = -1 · 24 · 33 · 293 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 1 3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3291,-72949] |
[a1,a2,a3,a4,a6] |
j |
-9124805419776/40997909 |
j-invariant |
L |
2.5206399852036 |
L(r)(E,1)/r! |
Ω |
0.31508000409657 |
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 |
85608f1 |
Quadratic twists by: -3 |