Atkin-Lehner |
2- 5+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
90100c |
Isogeny class |
Conductor |
90100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
27666331250000 = 24 · 58 · 174 · 53 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 4 -6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8633,179762] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:693:1] |
Generators of the group modulo torsion |
j |
284655271936/110665325 |
j-invariant |
L |
8.0048794693027 |
L(r)(E,1)/r! |
Ω |
0.60631679940515 |
Real period |
R |
4.4008233948757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003395 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18020a1 |
Quadratic twists by: 5 |