Atkin-Lehner |
2- 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
90168r |
Isogeny class |
Conductor |
90168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-1762235637552 = -1 · 24 · 33 · 132 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1349,60508] |
[a1,a2,a3,a4,a6] |
j |
702464/4563 |
j-invariant |
L |
4.8617471902689 |
L(r)(E,1)/r! |
Ω |
0.60771841642103 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
312f1 |
Quadratic twists by: 17 |