Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200eq |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
88942644000000 = 28 · 33 · 56 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135975,-19293750] |
[a1,a2,a3,a4,a6] |
Generators |
[-215:50:1] |
Generators of the group modulo torsion |
j |
21882096/7 |
j-invariant |
L |
6.4948497141744 |
L(r)(E,1)/r! |
Ω |
0.24862404345174 |
Real period |
R |
1.6326985163852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88200e2 3528d2 12600bl2 |
Quadratic twists by: -3 5 -7 |