Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800cj |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-5573204538870988800 = -1 · 251 · 32 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-733633,-267448417] |
[a1,a2,a3,a4,a6] |
j |
-6663170841705625/850403524608 |
j-invariant |
L |
2.9155247428657 |
L(r)(E,1)/r! |
Ω |
0.080986798418635 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800ew2 1650n2 52800bp2 |
Quadratic twists by: -4 8 5 |