Atkin-Lehner |
2- 3- 5+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
111690bl |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1597440 |
Modular degree for the optimal curve |
Δ |
1731259190476800 = 220 · 36 · 52 · 17 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-421583,105445527] |
[a1,a2,a3,a4,a6] |
Generators |
[-687:8738:1] [335:1146:1] |
Generators of the group modulo torsion |
j |
11366964089457630121/2374841139200 |
j-invariant |
L |
15.032295794718 |
L(r)(E,1)/r! |
Ω |
0.45866209036487 |
Real period |
R |
0.81935569323537 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999961754 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12410i1 |
Quadratic twists by: -3 |