Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20592j |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2023319181312 = 211 · 312 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3171,-6334] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:234:1] |
Generators of the group modulo torsion |
j |
2361864386/1355211 |
j-invariant |
L |
3.3244915554344 |
L(r)(E,1)/r! |
Ω |
0.69072532583261 |
Real period |
R |
1.2032610616336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10296c2 82368eg2 6864b2 |
Quadratic twists by: -4 8 -3 |