Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248cp |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-142360518581157888 = -1 · 217 · 36 · 116 · 292 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11- 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,95615,14175359] |
[a1,a2,a3,a4,a6] |
Generators |
[5:3828:1] |
Generators of the group modulo torsion |
j |
737542976796862/1086124561929 |
j-invariant |
L |
5.7293666038736 |
L(r)(E,1)/r! |
Ω |
0.22160865183242 |
Real period |
R |
0.71815369576471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000184 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248k2 15312b2 |
Quadratic twists by: -4 8 |