Atkin-Lehner |
2- 3+ 5- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
66330bf |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
350222400 = 26 · 33 · 52 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-467,3891] |
[a1,a2,a3,a4,a6] |
Generators |
[21:44:1] [-162:627:8] |
Generators of the group modulo torsion |
j |
416330716563/12971200 |
j-invariant |
L |
14.667326898317 |
L(r)(E,1)/r! |
Ω |
1.6957093280187 |
Real period |
R |
0.72080587240684 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999633 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66330e1 |
Quadratic twists by: -3 |