Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800d |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
43560000000000 = 212 · 32 · 510 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18633,-919863] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:175:1] |
Generators of the group modulo torsion |
j |
11179320256/680625 |
j-invariant |
L |
4.6623997546507 |
L(r)(E,1)/r! |
Ω |
0.41018362388692 |
Real period |
R |
2.8416540075747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52800co2 26400s1 10560y2 |
Quadratic twists by: -4 8 5 |