Atkin-Lehner |
2+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
62656f |
Isogeny class |
Conductor |
62656 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-10002335221153792 = -1 · 219 · 118 · 89 |
Discriminant |
Eigenvalues |
2+ 0 2 0 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,41236,3572912] |
[a1,a2,a3,a4,a6] |
Generators |
[1385148:-313737040:27] |
Generators of the group modulo torsion |
j |
29581036207983/38155880818 |
j-invariant |
L |
6.7692271314386 |
L(r)(E,1)/r! |
Ω |
0.2740194914652 |
Real period |
R |
12.351725592425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000489 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62656m3 1958a4 |
Quadratic twists by: -4 8 |