Atkin-Lehner |
2- 3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66300b |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
2442989250000 = 24 · 32 · 56 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7333,232162] |
[a1,a2,a3,a4,a6] |
j |
174456832000/9771957 |
j-invariant |
L |
1.6061825685899 |
L(r)(E,1)/r! |
Ω |
0.80309128165901 |
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 |
2652g1 |
Quadratic twists by: 5 |