Atkin-Lehner |
2- 3+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23460g |
Isogeny class |
Conductor |
23460 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
1680475928400 = 24 · 37 · 52 · 174 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16285,-792050] |
[a1,a2,a3,a4,a6] |
j |
29853392180740096/105029745525 |
j-invariant |
L |
1.2681292704356 |
L(r)(E,1)/r! |
Ω |
0.42270975681184 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93840cf1 70380y1 117300bc1 |
Quadratic twists by: -4 -3 5 |