Atkin-Lehner |
2- 5+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
56050m |
Isogeny class |
Conductor |
56050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13968 |
Modular degree for the optimal curve |
Δ |
-4259800 = -1 · 23 · 52 · 192 · 59 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -5 3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-68,232] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:20:1] |
Generators of the group modulo torsion |
j |
-1392225385/170392 |
j-invariant |
L |
5.1751539622703 |
L(r)(E,1)/r! |
Ω |
2.3894565265711 |
Real period |
R |
0.36097148066642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56050h1 |
Quadratic twists by: 5 |