Atkin-Lehner |
2- 3+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
53808n |
Isogeny class |
Conductor |
53808 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-13774848 = -1 · 212 · 3 · 19 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 -5 4 1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-149,-675] |
[a1,a2,a3,a4,a6] |
Generators |
[76:649:1] |
Generators of the group modulo torsion |
j |
-89915392/3363 |
j-invariant |
L |
3.0088776181228 |
L(r)(E,1)/r! |
Ω |
0.68136222244791 |
Real period |
R |
4.4159736465673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000087 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3363e1 |
Quadratic twists by: -4 |