Atkin-Lehner |
2- 3- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
48204m |
Isogeny class |
Conductor |
48204 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
2446777773648 = 24 · 38 · 133 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 2 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5664,145793] |
[a1,a2,a3,a4,a6] |
Generators |
[4:351:1] |
Generators of the group modulo torsion |
j |
1722843922432/209771757 |
j-invariant |
L |
6.76614901989 |
L(r)(E,1)/r! |
Ω |
0.78705661230282 |
Real period |
R |
0.47759864016768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16068e1 |
Quadratic twists by: -3 |