Atkin-Lehner |
2- 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
55120y |
Isogeny class |
Conductor |
55120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
11965890560 = 216 · 5 · 13 · 532 |
Discriminant |
Eigenvalues |
2- -2 5- 0 2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60840,5755828] |
[a1,a2,a3,a4,a6] |
Generators |
[167:530:1] |
Generators of the group modulo torsion |
j |
6080489160206761/2921360 |
j-invariant |
L |
4.3080850716598 |
L(r)(E,1)/r! |
Ω |
1.0380700546724 |
Real period |
R |
2.0750454424196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998594 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6890i1 |
Quadratic twists by: -4 |