Atkin-Lehner |
2- 3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66300d |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-17507343750000 = -1 · 24 · 3 · 510 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -2 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8958,-380463] |
[a1,a2,a3,a4,a6] |
j |
-508844800/112047 |
j-invariant |
L |
0.72754716967784 |
L(r)(E,1)/r! |
Ω |
0.2425157239149 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66300bp1 |
Quadratic twists by: 5 |