Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648bk |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.0262109924238E+24 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2304744,-48758353344] |
[a1,a2,a3,a4,a6] |
Generators |
[4224:129960:1] [306444109413:31983428894340:26730899] |
Generators of the group modulo torsion |
j |
-28104147578308/21301741002339 |
j-invariant |
L |
10.080325312926 |
L(r)(E,1)/r! |
Ω |
0.039472192759825 |
Real period |
R |
31.92223628879 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296v3 3192c4 |
Quadratic twists by: -4 -19 |