Atkin-Lehner |
2+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
5950b |
Isogeny class |
Conductor |
5950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
213248000000 = 214 · 56 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -6 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1500,2000] |
[a1,a2,a3,a4,a6] |
j |
23912763841/13647872 |
j-invariant |
L |
1.71299705298 |
L(r)(E,1)/r! |
Ω |
0.85649852649002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47600be1 53550do1 238a1 41650o1 |
Quadratic twists by: -4 -3 5 -7 |