Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048s |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1145686228992 = -1 · 215 · 38 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2580,-10384] |
[a1,a2,a3,a4,a6] |
Generators |
[40:396:1] |
Generators of the group modulo torsion |
j |
79507000/47961 |
j-invariant |
L |
5.123749533037 |
L(r)(E,1)/r! |
Ω |
0.5048781822445 |
Real period |
R |
2.5371216826309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048r2 21024l2 14016k2 |
Quadratic twists by: -4 8 -3 |