Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176cf |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
47923200 |
Modular degree for the optimal curve |
Δ |
-1.86557915343E+27 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 13+ -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-487134219,4630758698774] |
[a1,a2,a3,a4,a6] |
j |
-20994006260678308/3063651608241 |
j-invariant |
L |
1.4501624536572 |
L(r)(E,1)/r! |
Ω |
0.045317579911809 |
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 |
28392i1 85176t1 |
Quadratic twists by: -3 13 |