Atkin-Lehner |
2- 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20592s |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
52631175168 = 220 · 33 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11+ 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2115,-35774] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:26:1] |
Generators of the group modulo torsion |
j |
9460870875/475904 |
j-invariant |
L |
5.7437717686206 |
L(r)(E,1)/r! |
Ω |
0.70619815532478 |
Real period |
R |
2.0333428108358 |
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 |
2574c1 82368cz1 20592x1 |
Quadratic twists by: -4 8 -3 |