Atkin-Lehner |
2+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36176c |
Isogeny class |
Conductor |
36176 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
8929280 |
Modular degree for the optimal curve |
Δ |
5.9287826755339E+22 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ -2 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1136706408,14750586324292] |
[a1,a2,a3,a4,a6] |
j |
158623920904338236518038062500/57898268315761033937 |
j-invariant |
L |
1.4388303688271 |
L(r)(E,1)/r! |
Ω |
0.089926898051567 |
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 |
18088g1 |
Quadratic twists by: -4 |