Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800fq |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2309472000000000 = 214 · 38 · 59 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42833,2523537] |
[a1,a2,a3,a4,a6] |
j |
271593488/72171 |
j-invariant |
L |
1.7213667391904 |
L(r)(E,1)/r! |
Ω |
0.43034168498318 |
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 |
52800dn2 13200cp2 52800hs2 |
Quadratic twists by: -4 8 5 |