Atkin-Lehner |
2+ 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920bk |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
169011360000 = 28 · 38 · 54 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4647,-120314] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:40:1] |
Generators of the group modulo torsion |
j |
59466754384/905625 |
j-invariant |
L |
6.2305087001149 |
L(r)(E,1)/r! |
Ω |
0.57877145455021 |
Real period |
R |
2.6912646831087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57960bb1 38640s1 |
Quadratic twists by: -4 -3 |