Atkin-Lehner |
5+ 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
8695a |
Isogeny class |
Conductor |
8695 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2096 |
Modular degree for the optimal curve |
Δ |
321715 = 5 · 372 · 47 |
Discriminant |
Eigenvalues |
1 3 5+ 1 -1 -7 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25,-34] |
[a1,a2,a3,a4,a6] |
j |
1767172329/321715 |
j-invariant |
L |
4.3156253283982 |
L(r)(E,1)/r! |
Ω |
2.1578126641991 |
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 |
78255b1 43475a1 |
Quadratic twists by: -3 5 |