Atkin-Lehner |
2+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
59840l |
Isogeny class |
Conductor |
59840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-10439496826880 = -1 · 223 · 5 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 11+ -5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18785,996863] |
[a1,a2,a3,a4,a6] |
Generators |
[83:128:1] |
Generators of the group modulo torsion |
j |
-2796665386969/39823520 |
j-invariant |
L |
6.6801432249029 |
L(r)(E,1)/r! |
Ω |
0.72435191113698 |
Real period |
R |
1.1527793193626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59840bp1 1870e1 |
Quadratic twists by: -4 8 |