Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722bu |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
1694318472 = 23 · 36 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- -2 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-303,-379] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:34:1] |
Generators of the group modulo torsion |
j |
14553/8 |
j-invariant |
L |
3.9105393943842 |
L(r)(E,1)/r! |
Ω |
1.2234384391126 |
Real period |
R |
0.53272526555025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999749913 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858w1 106722de1 106722fs1 |
Quadratic twists by: -3 -7 -11 |