Atkin-Lehner |
2- 3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18768t |
Isogeny class |
Conductor |
18768 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-24993570816 = -1 · 213 · 33 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 0 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-392,8304] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:68:1] [28:-136:1] |
Generators of the group modulo torsion |
j |
-1630532233/6101946 |
j-invariant |
L |
5.1685959295103 |
L(r)(E,1)/r! |
Ω |
1.0438715318752 |
Real period |
R |
0.41261430579049 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2346g1 75072di1 56304bc1 |
Quadratic twists by: -4 8 -3 |