Atkin-Lehner |
2- 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11592m |
Isogeny class |
Conductor |
11592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
342720 |
Modular degree for the optimal curve |
Δ |
-4.3685777273863E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,219825,1004823927] |
[a1,a2,a3,a4,a6] |
Generators |
[-1932810391:-530932407299:16974593] |
Generators of the group modulo torsion |
j |
100718081964000000/37453512751940327 |
j-invariant |
L |
4.8664196019079 |
L(r)(E,1)/r! |
Ω |
0.12991688763007 |
Real period |
R |
9.3644861932129 |
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 |
23184q1 92736bc1 1288c1 81144bo1 |
Quadratic twists by: -4 8 -3 -7 |