Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1144d |
Isogeny class |
Conductor |
1144 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1120 |
Modular degree for the optimal curve |
Δ |
-843092966144 = -1 · 28 · 117 · 132 |
Discriminant |
Eigenvalues |
2- 1 -1 -2 11- 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2881,73171] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:286:1] |
Generators of the group modulo torsion |
j |
-10333900063744/3293331899 |
j-invariant |
L |
2.6893430485145 |
L(r)(E,1)/r! |
Ω |
0.84203170599453 |
Real period |
R |
0.1140669232935 |
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 |
2288a1 9152e1 10296b1 28600g1 |
Quadratic twists by: -4 8 -3 5 |