Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066bc |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-257402767894272 = -1 · 28 · 34 · 72 · 117 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11855,-589756] |
[a1,a2,a3,a4,a6] |
j |
104021936927/145297152 |
j-invariant |
L |
2.3515563101115 |
L(r)(E,1)/r! |
Ω |
0.29394453908964 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006bb1 |
Quadratic twists by: -11 |