Atkin-Lehner |
2- 3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66300bp |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-1120470000 = -1 · 24 · 3 · 54 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -2 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-358,-3187] |
[a1,a2,a3,a4,a6] |
j |
-508844800/112047 |
j-invariant |
L |
4.8805347862204 |
L(r)(E,1)/r! |
Ω |
0.54228164428629 |
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 |
66300d1 |
Quadratic twists by: 5 |