Atkin-Lehner |
2+ 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
11288a |
Isogeny class |
Conductor |
11288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1184 |
Modular degree for the optimal curve |
Δ |
-361216 = -1 · 28 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 0 -3 -2 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44,116] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:14:1] [2:6:1] |
Generators of the group modulo torsion |
j |
-36799488/1411 |
j-invariant |
L |
5.1563766709562 |
L(r)(E,1)/r! |
Ω |
3.0015425962582 |
Real period |
R |
0.42947721926253 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22576c1 90304i1 101592m1 |
Quadratic twists by: -4 8 -3 |