Atkin-Lehner |
2- 3- 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
108528bl |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1689600 |
Modular degree for the optimal curve |
Δ |
59823630200468736 = 28 · 316 · 75 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -6 1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1055181,-417380409] |
[a1,a2,a3,a4,a6] |
Generators |
[-597:378:1] |
Generators of the group modulo torsion |
j |
507533888740372946944/233686055470581 |
j-invariant |
L |
7.048928560036 |
L(r)(E,1)/r! |
Ω |
0.14896347025718 |
Real period |
R |
0.2957490415718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999869381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27132a1 |
Quadratic twists by: -4 |