Atkin-Lehner |
3+ 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78585f |
Isogeny class |
Conductor |
78585 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4596480 |
Modular degree for the optimal curve |
Δ |
1.1304178430177E+19 |
Discriminant |
Eigenvalues |
2 3+ 5- 5 -2 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1091120,-407412289] |
[a1,a2,a3,a4,a6] |
j |
29763331769995264/2341956856005 |
j-invariant |
L |
7.4227066436332 |
L(r)(E,1)/r! |
Ω |
0.1484541321613 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6045c1 |
Quadratic twists by: 13 |