Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11856m |
Isogeny class |
Conductor |
11856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-1250286336 = -1 · 28 · 32 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 -3 13- 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-265,2291] |
[a1,a2,a3,a4,a6] |
Generators |
[14:39:1] |
Generators of the group modulo torsion |
j |
-8069733376/4883931 |
j-invariant |
L |
5.718819436502 |
L(r)(E,1)/r! |
Ω |
1.4193388928469 |
Real period |
R |
0.50365168823698 |
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 |
5928c1 47424cf1 35568q1 |
Quadratic twists by: -4 8 -3 |