Atkin-Lehner |
2+ 3- 5+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
32430k |
Isogeny class |
Conductor |
32430 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
166751168400 = 24 · 36 · 52 · 233 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11734,487832] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:509:1] |
Generators of the group modulo torsion |
j |
178652360349338329/166751168400 |
j-invariant |
L |
4.5572835538191 |
L(r)(E,1)/r! |
Ω |
1.0136636447624 |
Real period |
R |
2.2479269022652 |
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 |
97290bn1 |
Quadratic twists by: -3 |