Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770de |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
5383822758600000 = 26 · 3 · 55 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-77490,7508292] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-2542:1] |
Generators of the group modulo torsion |
j |
63083274241/6600000 |
j-invariant |
L |
11.78815878759 |
L(r)(E,1)/r! |
Ω |
0.41638437943899 |
Real period |
R |
0.31456401476782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55770x1 |
Quadratic twists by: 13 |