Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1144a |
Isogeny class |
Conductor |
1144 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
416 |
Modular degree for the optimal curve |
Δ |
-3221504 = -1 · 211 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3 3 -3 11- 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29,62] |
[a1,a2,a3,a4,a6] |
j |
1317006/1573 |
j-invariant |
L |
3.3679524499592 |
L(r)(E,1)/r! |
Ω |
1.6839762249796 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2288b1 9152h1 10296k1 28600s1 |
Quadratic twists by: -4 8 -3 5 |