Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648bk |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
3.3560393996979E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13416324,-18712641024] |
[a1,a2,a3,a4,a6] |
Generators |
[-2274:6498:1] [-2124:14352:1] |
Generators of the group modulo torsion |
j |
22174957026242512/278654127129 |
j-invariant |
L |
10.080325312926 |
L(r)(E,1)/r! |
Ω |
0.078944385519651 |
Real period |
R |
7.9805590721975 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121296v2 3192c2 |
Quadratic twists by: -4 -19 |