Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66792l |
Isogeny class |
Conductor |
66792 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-4543488930816 = -1 · 210 · 313 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 -5 11- -5 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4440,151776] |
[a1,a2,a3,a4,a6] |
Generators |
[60:-324:1] |
Generators of the group modulo torsion |
j |
-78142104964/36669429 |
j-invariant |
L |
5.2997342391102 |
L(r)(E,1)/r! |
Ω |
0.72280361284181 |
Real period |
R |
0.28200735115868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000394 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66792bj1 |
Quadratic twists by: -11 |