Atkin-Lehner |
2+ 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
112608h |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
31523033088 = 212 · 39 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 4 1 0 3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1848,-29360] |
[a1,a2,a3,a4,a6] |
j |
233744896/10557 |
j-invariant |
L |
5.8415230366227 |
L(r)(E,1)/r! |
Ω |
0.73019039855878 |
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 |
112608k1 37536bd1 |
Quadratic twists by: -4 -3 |