Atkin-Lehner |
2- 3- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
72216t |
Isogeny class |
Conductor |
72216 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
3191672201472 = 28 · 36 · 173 · 592 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -2 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14031,633906] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-306:1] |
Generators of the group modulo torsion |
j |
1636899787728/17102153 |
j-invariant |
L |
3.445751774232 |
L(r)(E,1)/r! |
Ω |
0.80067248007971 |
Real period |
R |
0.35863101116262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001565 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8024a1 |
Quadratic twists by: -3 |