Atkin-Lehner |
2+ 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066t |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-1065512448 = -1 · 29 · 33 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,129,-1454] |
[a1,a2,a3,a4,a6] |
Generators |
[8:6:1] |
Generators of the group modulo torsion |
j |
1983983375/8805888 |
j-invariant |
L |
5.5435226820198 |
L(r)(E,1)/r! |
Ω |
0.78459762082078 |
Real period |
R |
1.1775723280593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66066cv1 |
Quadratic twists by: -11 |