Atkin-Lehner |
2- 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
66564b |
Isogeny class |
Conductor |
66564 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
78624 |
Modular degree for the optimal curve |
Δ |
-2730828837168 = -1 · 24 · 33 · 436 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-79507] |
[a1,a2,a3,a4,a6] |
Generators |
[76918959:283192840:1601613] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
7.5072627718524 |
L(r)(E,1)/r! |
Ω |
0.37036575164021 |
Real period |
R |
10.134931129757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000618 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66564b3 36a1 |
Quadratic twists by: -3 -43 |