Atkin-Lehner |
2- 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
66564c |
Isogeny class |
Conductor |
66564 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15120 |
Modular degree for the optimal curve |
Δ |
-12780288 = -1 · 28 · 33 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 0 -5 0 5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-172] |
[a1,a2,a3,a4,a6] |
Generators |
[13:45:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
4.6777006134405 |
L(r)(E,1)/r! |
Ω |
1.0298571136963 |
Real period |
R |
2.2710435023797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66564c2 66564a1 |
Quadratic twists by: -3 -43 |