Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440w |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1212472800000 = -1 · 28 · 39 · 55 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 4 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8508,306668] |
[a1,a2,a3,a4,a6] |
j |
-364954448896/6496875 |
j-invariant |
L |
3.4613902590862 |
L(r)(E,1)/r! |
Ω |
0.86534756521633 |
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 |
27720d1 18480p1 |
Quadratic twists by: -4 -3 |