Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200gt |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
19211611104000000 = 211 · 36 · 56 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3296475,2303673750] |
[a1,a2,a3,a4,a6] |
j |
1443468546/7 |
j-invariant |
L |
2.7311095184576 |
L(r)(E,1)/r! |
Ω |
0.34138870544537 |
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 |
9800d3 3528k4 12600cc3 |
Quadratic twists by: -3 5 -7 |