Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960v |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-636311212241648640 = -1 · 210 · 3 · 5 · 2310 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,76000,37547460] |
[a1,a2,a3,a4,a6] |
j |
320251964/4197615 |
j-invariant |
L |
7.6814145700263 |
L(r)(E,1)/r! |
Ω |
0.21337263150665 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63480d3 5520e4 |
Quadratic twists by: -4 -23 |