Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
50460b |
Isogeny class |
Conductor |
50460 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2182656 |
Modular degree for the optimal curve |
Δ |
-3.1727128249226E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 -7 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1373914,591326661] |
[a1,a2,a3,a4,a6] |
Generators |
[-502579:5734775:1331] |
Generators of the group modulo torsion |
j |
1235663104/1366875 |
j-invariant |
L |
4.7486746603535 |
L(r)(E,1)/r! |
Ω |
0.11418944230896 |
Real period |
R |
10.396483607249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50460l1 |
Quadratic twists by: 29 |