Atkin-Lehner |
2- 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
120400bd |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8110080 |
Modular degree for the optimal curve |
Δ |
-1.0883206393472E+23 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 3 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25293408,-51478844812] |
[a1,a2,a3,a4,a6] |
Generators |
[578320821773422004197753164014949685690964:74650010203763826741516274001314515364056250:31766344758308787535810315095485088923] |
Generators of the group modulo torsion |
j |
-27961843710799634329/1700500998980000 |
j-invariant |
L |
8.7509905925752 |
L(r)(E,1)/r! |
Ω |
0.033542136452227 |
Real period |
R |
65.223861075747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15050v1 24080j1 |
Quadratic twists by: -4 5 |