Atkin-Lehner |
2- 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150cq |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-325351406250000 = -1 · 24 · 32 · 510 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12937,658617] |
[a1,a2,a3,a4,a6] |
Generators |
[76:-1481:1] |
Generators of the group modulo torsion |
j |
15325064901719/20822490000 |
j-invariant |
L |
12.380370457659 |
L(r)(E,1)/r! |
Ω |
0.36588019099075 |
Real period |
R |
1.0574132907075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430j2 |
Quadratic twists by: 5 |