Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066q |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-4021918248348 = -1 · 22 · 34 · 72 · 117 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4721,155841] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:426:1] |
Generators of the group modulo torsion |
j |
-6570725617/2270268 |
j-invariant |
L |
2.5814553772602 |
L(r)(E,1)/r! |
Ω |
0.73737452410391 |
Real period |
R |
0.43760926321795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984109 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006s1 |
Quadratic twists by: -11 |