Atkin-Lehner |
2+ 3- 5+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
99990i |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1236480 |
Modular degree for the optimal curve |
Δ |
-415153052933160960 = -1 · 223 · 36 · 5 · 113 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-233925,53513045] |
[a1,a2,a3,a4,a6] |
j |
-1941901255697022801/569482925834240 |
j-invariant |
L |
1.6991407350829 |
L(r)(E,1)/r! |
Ω |
0.28319009623353 |
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 |
11110i1 |
Quadratic twists by: -3 |