Atkin-Lehner |
2+ 11+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
8866d |
Isogeny class |
Conductor |
8866 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
-3023306 = -1 · 2 · 112 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ 1 1 3 11+ 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18,-90] |
[a1,a2,a3,a4,a6] |
Generators |
[6:2:1] |
Generators of the group modulo torsion |
j |
-594823321/3023306 |
j-invariant |
L |
4.3636623382414 |
L(r)(E,1)/r! |
Ω |
1.0524905908494 |
Real period |
R |
1.0365086339441 |
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 |
70928p1 79794bc1 97526u1 115258q1 |
Quadratic twists by: -4 -3 -11 13 |