Atkin-Lehner |
2- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5060c |
Isogeny class |
Conductor |
5060 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-84185750000 = -1 · 24 · 56 · 114 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 11- -3 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-626,-14999] |
[a1,a2,a3,a4,a6] |
Generators |
[126:1375:1] |
Generators of the group modulo torsion |
j |
-1698323056384/5261609375 |
j-invariant |
L |
3.0776101857451 |
L(r)(E,1)/r! |
Ω |
0.44046244405995 |
Real period |
R |
0.29113437358561 |
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 |
20240k1 80960r1 45540s1 25300j1 |
Quadratic twists by: -4 8 -3 5 |