Atkin-Lehner |
2+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86800n |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-3.5638647460938E+22 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -2 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17980908,30714530188] |
[a1,a2,a3,a4,a6] |
j |
-160730613290050429264/8909661865234375 |
j-invariant |
L |
1.3734283856397 |
L(r)(E,1)/r! |
Ω |
0.11445236238654 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43400g1 17360i1 |
Quadratic twists by: -4 5 |