Atkin-Lehner |
2- 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
50150bg |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
3698562500 = 22 · 56 · 17 · 592 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30805,-2073303] |
[a1,a2,a3,a4,a6] |
Generators |
[-10220687130:5049004913:101194696] |
Generators of the group modulo torsion |
j |
206896959473625/236708 |
j-invariant |
L |
8.7970087636048 |
L(r)(E,1)/r! |
Ω |
0.36036730559879 |
Real period |
R |
12.205614420217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2006a1 |
Quadratic twists by: 5 |