Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1144c |
Isogeny class |
Conductor |
1144 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
176 |
Modular degree for the optimal curve |
Δ |
-292864 = -1 · 211 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 2 3 1 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-144,716] |
[a1,a2,a3,a4,a6] |
j |
-162365474/143 |
j-invariant |
L |
3.0564453227551 |
L(r)(E,1)/r! |
Ω |
3.0564453227551 |
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 |
2288d1 9152o1 10296f1 28600d1 |
Quadratic twists by: -4 8 -3 5 |