Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800s |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17990860800000000 = 220 · 3 · 58 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2564033,1581119937] |
[a1,a2,a3,a4,a6] |
Generators |
[39762065:-3096148:42875] |
Generators of the group modulo torsion |
j |
455129268177961/4392300 |
j-invariant |
L |
6.1254359801234 |
L(r)(E,1)/r! |
Ω |
0.35045483690586 |
Real period |
R |
8.7392658554448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800hg4 1650t3 10560s3 |
Quadratic twists by: -4 8 5 |