Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800bf |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7527168000000 = 214 · 35 · 56 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129233,17924337] |
[a1,a2,a3,a4,a6] |
j |
932410994128/29403 |
j-invariant |
L |
2.768749198841 |
L(r)(E,1)/r! |
Ω |
0.69218729973434 |
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 |
52800gd2 3300l2 2112q2 |
Quadratic twists by: -4 8 5 |