Atkin-Lehner |
2- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
68770k |
Isogeny class |
Conductor |
68770 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
143616 |
Modular degree for the optimal curve |
Δ |
-18027642880000 = -1 · 222 · 54 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -3 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4397,169587] |
[a1,a2,a3,a4,a6] |
Generators |
[123:-1662:1] |
Generators of the group modulo torsion |
j |
17775835849359/34078720000 |
j-invariant |
L |
5.0878085625393 |
L(r)(E,1)/r! |
Ω |
0.47560582024103 |
Real period |
R |
0.24312573114581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68770q1 |
Quadratic twists by: -23 |