Atkin-Lehner |
2- 3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17556m |
Isogeny class |
Conductor |
17556 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
9197728848 = 24 · 36 · 73 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2073,35352] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:105:1] |
Generators of the group modulo torsion |
j |
61604313088000/574858053 |
j-invariant |
L |
6.557344939087 |
L(r)(E,1)/r! |
Ω |
1.3041365804213 |
Real period |
R |
1.6760373715277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
70224bh1 52668ba1 122892b1 |
Quadratic twists by: -4 -3 -7 |