Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5520bf |
Isogeny class |
Conductor |
5520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-20183592960 = -1 · 212 · 34 · 5 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -2 -2 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,475,5715] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:69:1] |
Generators of the group modulo torsion |
j |
2887553024/4927635 |
j-invariant |
L |
4.50578661725 |
L(r)(E,1)/r! |
Ω |
0.83225976479466 |
Real period |
R |
0.45115988299255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
345e1 22080by1 16560bl1 27600bk1 |
Quadratic twists by: -4 8 -3 5 |