Atkin-Lehner |
2- 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
11220h |
Isogeny class |
Conductor |
11220 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-46693152000 = -1 · 28 · 33 · 53 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ 5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,204,10404] |
[a1,a2,a3,a4,a6] |
j |
3649586096/182395125 |
j-invariant |
L |
2.5830201102744 |
L(r)(E,1)/r! |
Ω |
0.86100670342479 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
44880bm1 33660k1 56100b1 123420w1 |
Quadratic twists by: -4 -3 5 -11 |