Atkin-Lehner |
2+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
99704a |
Isogeny class |
Conductor |
99704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15072 |
Modular degree for the optimal curve |
Δ |
2193488 = 24 · 113 · 103 |
Discriminant |
Eigenvalues |
2+ 0 2 2 11+ -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-374,-2783] |
[a1,a2,a3,a4,a6] |
j |
271669248/103 |
j-invariant |
L |
1.0856544267098 |
L(r)(E,1)/r! |
Ω |
1.0856542477687 |
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 |
99704c1 |
Quadratic twists by: -11 |