Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066p |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-102788653968 = -1 · 24 · 35 · 75 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,845,-11843] |
[a1,a2,a3,a4,a6] |
Generators |
[18:89:1] |
Generators of the group modulo torsion |
j |
550433885375/849493008 |
j-invariant |
L |
3.8137830222215 |
L(r)(E,1)/r! |
Ω |
0.56100594179433 |
Real period |
R |
0.67981152029919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000893 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66066bo1 |
Quadratic twists by: -11 |