Atkin-Lehner |
2- 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
52030bb |
Isogeny class |
Conductor |
52030 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
5157380096000 = 216 · 53 · 114 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11- 4 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10792,-414741] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:141:1] |
Generators of the group modulo torsion |
j |
9493384124961/352256000 |
j-invariant |
L |
10.575307043966 |
L(r)(E,1)/r! |
Ω |
0.46948059041704 |
Real period |
R |
0.15642740881952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999687 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52030j1 |
Quadratic twists by: -11 |