Atkin-Lehner |
2+ 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37128r |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2.9213427930449E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4221224,-2094460704] |
[a1,a2,a3,a4,a6] |
Generators |
[4347:248430:1] |
Generators of the group modulo torsion |
j |
8123422741085742408868/2852873821332920931 |
j-invariant |
L |
6.1907698030976 |
L(r)(E,1)/r! |
Ω |
0.10836768612584 |
Real period |
R |
2.3803105059954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74256k4 111384cm4 |
Quadratic twists by: -4 -3 |