Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57960k |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-82254448684800 = -1 · 28 · 38 · 52 · 7 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1623,-437078] |
[a1,a2,a3,a4,a6] |
j |
-2533446736/440749575 |
j-invariant |
L |
1.0831739262793 |
L(r)(E,1)/r! |
Ω |
0.270793482164 |
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 |
115920bc1 19320ba1 |
Quadratic twists by: -4 -3 |