Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7140o |
Isogeny class |
Conductor |
7140 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-158960374406400 = -1 · 28 · 3 · 52 · 73 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2700,-609900] |
[a1,a2,a3,a4,a6] |
Generators |
[1642:21945:8] |
Generators of the group modulo torsion |
j |
-8506205668816/620938962525 |
j-invariant |
L |
5.3004762200739 |
L(r)(E,1)/r! |
Ω |
0.25375861062404 |
Real period |
R |
6.9626224794752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28560cq4 114240u4 21420q4 35700g4 |
Quadratic twists by: -4 8 -3 5 |