Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800cd |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
92928000000 = 214 · 3 · 56 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1233,-8337] |
[a1,a2,a3,a4,a6] |
j |
810448/363 |
j-invariant |
L |
3.3600201393009 |
L(r)(E,1)/r! |
Ω |
0.84000503528999 |
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 |
52800fa2 3300d2 2112c2 |
Quadratic twists by: -4 8 5 |