Atkin-Lehner |
2- 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248bx |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-157087468779208704 = -1 · 222 · 36 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,110463,12767265] |
[a1,a2,a3,a4,a6] |
j |
568630774259423/599241137616 |
j-invariant |
L |
2.5734560188302 |
L(r)(E,1)/r! |
Ω |
0.21445466837169 |
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 |
61248q2 15312r2 |
Quadratic twists by: -4 8 |