Atkin-Lehner |
5+ 11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
88825l |
Isogeny class |
Conductor |
88825 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
104714959765625 = 58 · 112 · 17 · 194 |
Discriminant |
Eigenvalues |
1 0 5+ 0 11- -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29792,1924491] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:931:1] |
Generators of the group modulo torsion |
j |
187159063691601/6701757425 |
j-invariant |
L |
5.3760685994017 |
L(r)(E,1)/r! |
Ω |
0.59180409151378 |
Real period |
R |
2.2710507897485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003286 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17765g1 |
Quadratic twists by: 5 |