Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
92480cz |
Isogeny class |
Conductor |
92480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
2100934005760 = 210 · 5 · 177 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32368,-2240328] |
[a1,a2,a3,a4,a6] |
j |
151732224/85 |
j-invariant |
L |
1.4237876435785 |
L(r)(E,1)/r! |
Ω |
0.355946880323 |
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 |
92480d1 23120bc1 5440w1 |
Quadratic twists by: -4 8 17 |