Atkin-Lehner |
3+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
66297g |
Isogeny class |
Conductor |
66297 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-650103509236797 = -1 · 36 · 711 · 11 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 11- 0 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,13033,-1079422] |
[a1,a2,a3,a4,a6] |
Generators |
[111:1267:1] |
Generators of the group modulo torsion |
j |
2080973621663/5525788653 |
j-invariant |
L |
3.5790057009202 |
L(r)(E,1)/r! |
Ω |
0.26353682940994 |
Real period |
R |
1.6975832700262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9471d1 |
Quadratic twists by: -7 |