Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960w |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
980589728736000000 = 211 · 32 · 56 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -6 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-453000,107096148] |
[a1,a2,a3,a4,a6] |
j |
33909572018/3234375 |
j-invariant |
L |
3.2468328755544 |
L(r)(E,1)/r! |
Ω |
0.27056932524803 |
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 |
63480e2 5520f2 |
Quadratic twists by: -4 -23 |