Atkin-Lehner |
2- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66640cd |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
198720 |
Modular degree for the optimal curve |
Δ |
3081433600000 = 212 · 55 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 6 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59285,5535683] |
[a1,a2,a3,a4,a6] |
j |
114817869021184/15353125 |
j-invariant |
L |
3.8536033527699 |
L(r)(E,1)/r! |
Ω |
0.77072067096345 |
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 |
4165i1 66640z1 |
Quadratic twists by: -4 -7 |