Atkin-Lehner |
2- 5+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050bj |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
4004000000 = 28 · 56 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-655,5847] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:110:1] |
Generators of the group modulo torsion |
j |
1986121593/256256 |
j-invariant |
L |
8.1205722897788 |
L(r)(E,1)/r! |
Ω |
1.3407727772402 |
Real period |
R |
0.75707946450949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2002b1 |
Quadratic twists by: 5 |