Atkin-Lehner |
2- 5+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
75650ba |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
1513000000 = 26 · 56 · 17 · 89 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -6 0 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-855,9647] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:90:1] [-17:146:1] |
Generators of the group modulo torsion |
j |
4419017721/96832 |
j-invariant |
L |
14.65944041239 |
L(r)(E,1)/r! |
Ω |
1.5073498252124 |
Real period |
R |
3.2417691339531 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3026a1 |
Quadratic twists by: 5 |