Atkin-Lehner |
5- 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
120785k |
Isogeny class |
Conductor |
120785 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
17280000 |
Modular degree for the optimal curve |
Δ |
-2.7776290137163E+21 |
Discriminant |
Eigenvalues |
-2 1 5- 7- -4 -2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-84253850,297651126154] |
[a1,a2,a3,a4,a6] |
Generators |
[3944439:10568323:729] [-7759:695937:1] |
Generators of the group modulo torsion |
j |
-562217995949866169135104/23609457060546875 |
j-invariant |
L |
7.2925970119317 |
L(r)(E,1)/r! |
Ω |
0.13471214544965 |
Real period |
R |
0.22556110844286 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000011423 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17255b1 |
Quadratic twists by: -7 |