Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
11160l |
Isogeny class |
Conductor |
11160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47040 |
Modular degree for the optimal curve |
Δ |
-17374111200000 = -1 · 28 · 36 · 55 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -2 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-346068,78359508] |
[a1,a2,a3,a4,a6] |
Generators |
[316:746:1] |
Generators of the group modulo torsion |
j |
-24560689104608256/93096875 |
j-invariant |
L |
4.6548836717152 |
L(r)(E,1)/r! |
Ω |
0.60746938907864 |
Real period |
R |
3.8313730332777 |
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 |
22320h1 89280cb1 1240c1 55800n1 |
Quadratic twists by: -4 8 -3 5 |