Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1144b |
Isogeny class |
Conductor |
1144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
-475904 = -1 · 28 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 1 -1 -2 11- 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-241,1363] |
[a1,a2,a3,a4,a6] |
Generators |
[3:26:1] |
Generators of the group modulo torsion |
j |
-6072054784/1859 |
j-invariant |
L |
2.6919385641859 |
L(r)(E,1)/r! |
Ω |
2.8915531007544 |
Real period |
R |
0.11637079064377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2288c1 9152b1 10296l1 28600p1 |
Quadratic twists by: -4 8 -3 5 |