Atkin-Lehner |
2+ 3- 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
65550z |
Isogeny class |
Conductor |
65550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
72493056000000000 = 220 · 34 · 59 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2313026,-1354131052] |
[a1,a2,a3,a4,a6] |
Generators |
[-882:592:1] |
Generators of the group modulo torsion |
j |
87588070629066163729/4639555584000 |
j-invariant |
L |
4.1633169737182 |
L(r)(E,1)/r! |
Ω |
0.12242097353887 |
Real period |
R |
4.2510250224263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986785 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13110w1 |
Quadratic twists by: 5 |