Atkin-Lehner |
2- 3- 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89040cp |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
134313923249049600 = 212 · 34 · 52 · 78 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1908880,-1015600300] |
[a1,a2,a3,a4,a6] |
Generators |
[2182510:21705600:1331] |
Generators of the group modulo torsion |
j |
187801853781525192721/32791485168225 |
j-invariant |
L |
9.8434829723983 |
L(r)(E,1)/r! |
Ω |
0.12844270083467 |
Real period |
R |
9.5796441858263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942062 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5565d2 |
Quadratic twists by: -4 |