Atkin-Lehner |
2+ 5+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
107920d |
Isogeny class |
Conductor |
107920 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
337250000 = 24 · 56 · 19 · 71 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-491,-3934] |
[a1,a2,a3,a4,a6] |
j |
819846252544/21078125 |
j-invariant |
L |
2.0312645206291 |
L(r)(E,1)/r! |
Ω |
1.0156325562338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53960d1 |
Quadratic twists by: -4 |