Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800eq |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
95040000000000 = 215 · 33 · 510 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-317633,69007137] |
[a1,a2,a3,a4,a6] |
Generators |
[328:59:1] |
Generators of the group modulo torsion |
j |
6922005943112/185625 |
j-invariant |
L |
4.4555631009565 |
L(r)(E,1)/r! |
Ω |
0.55800933358151 |
Real period |
R |
3.9923732747996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800fw4 26400bs4 10560ck3 |
Quadratic twists by: -4 8 5 |