Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121520bb |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
709116641408000 = 210 · 53 · 78 · 312 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6402160,-6237155100] |
[a1,a2,a3,a4,a6] |
j |
240887993512424836/5886125 |
j-invariant |
L |
1.1389340597754 |
L(r)(E,1)/r! |
Ω |
0.094911299296833 |
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 |
60760g2 17360b2 |
Quadratic twists by: -4 -7 |