Atkin-Lehner |
3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
66309g |
Isogeny class |
Conductor |
66309 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6120 |
Modular degree for the optimal curve |
Δ |
66309 = 3 · 23 · 312 |
Discriminant |
Eigenvalues |
-2 3+ 1 2 0 2 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-10,0] |
[a1,a2,a3,a4,a6] |
Generators |
[0:0:1] |
Generators of the group modulo torsion |
j |
126976/69 |
j-invariant |
L |
3.2857450680555 |
L(r)(E,1)/r! |
Ω |
2.8402648919126 |
Real period |
R |
1.1568445876931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000705 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66309i1 |
Quadratic twists by: -31 |