Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992cz |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
667818091434590208 = 214 · 38 · 7 · 316 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1073820,426488816] |
[a1,a2,a3,a4,a6] |
j |
11464911586546000/55912731903 |
j-invariant |
L |
3.4644039937725 |
L(r)(E,1)/r! |
Ω |
0.28870036976076 |
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 |
124992eh4 7812j4 41664x4 |
Quadratic twists by: -4 8 -3 |