Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66792m |
Isogeny class |
Conductor |
66792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1832634672608256 = 210 · 3 · 1110 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-182992,-30120400] |
[a1,a2,a3,a4,a6] |
Generators |
[700302618769:11974957936830:1083206683] |
Generators of the group modulo torsion |
j |
373565128612/1010229 |
j-invariant |
L |
9.5413464912743 |
L(r)(E,1)/r! |
Ω |
0.23086703183747 |
Real period |
R |
20.664159829937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000596 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6072l3 |
Quadratic twists by: -11 |