Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5280o |
Isogeny class |
Conductor |
5280 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
290580293025000000 = 26 · 38 · 58 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-556770,-157973400] |
[a1,a2,a3,a4,a6] |
j |
298244193811346574784/4540317078515625 |
j-invariant |
L |
2.7989883017634 |
L(r)(E,1)/r! |
Ω |
0.17493676886021 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5280e1 10560g2 15840h1 26400b1 |
Quadratic twists by: -4 8 -3 5 |