Atkin-Lehner |
2- 3+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408co |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
11940864 = 210 · 3 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 0 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-109,-371] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:33:8] |
Generators of the group modulo torsion |
j |
141150208/11661 |
j-invariant |
L |
4.8974330622859 |
L(r)(E,1)/r! |
Ω |
1.4841796930277 |
Real period |
R |
3.2997574923452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000472 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408bt1 14352k1 |
Quadratic twists by: -4 8 |