Atkin-Lehner |
2- 3- 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150cg |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
114312656250000 = 24 · 32 · 510 · 133 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-44838,3614292] |
[a1,a2,a3,a4,a6] |
j |
638032776322969/7316010000 |
j-invariant |
L |
4.7518581386372 |
L(r)(E,1)/r! |
Ω |
0.59398226870267 |
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 |
14430h1 |
Quadratic twists by: 5 |