Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760bf |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1.8822424622848E+22 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- 2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3061744,6269412800] |
[a1,a2,a3,a4,a6] |
Generators |
[4745016:400562272:729] |
Generators of the group modulo torsion |
j |
3615170357711/21437500000 |
j-invariant |
L |
8.4115561925778 |
L(r)(E,1)/r! |
Ω |
0.088448945133426 |
Real period |
R |
7.9250579526987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470z2 67760br2 |
Quadratic twists by: -4 -11 |