Atkin-Lehner |
2- 3+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150cd |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
440640 |
Modular degree for the optimal curve |
Δ |
-185186503125000 = -1 · 23 · 36 · 58 · 133 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -2 13+ 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-51513,4526031] |
[a1,a2,a3,a4,a6] |
j |
-38700335782705/474077448 |
j-invariant |
L |
3.4228211387197 |
L(r)(E,1)/r! |
Ω |
0.57047018944973 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72150bg1 |
Quadratic twists by: 5 |