Atkin-Lehner |
2+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800i |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
339062500000000000 = 211 · 517 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -3 -1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-403408,-94422688] |
[a1,a2,a3,a4,a6] |
j |
226886329763858/10595703125 |
j-invariant |
L |
0.75993757874137 |
L(r)(E,1)/r! |
Ω |
0.18998438431569 |
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 |
43400p1 17360e1 |
Quadratic twists by: -4 5 |