Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
59040l |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1129373798400 = -1 · 212 · 38 · 52 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2028,62048] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-164:1] |
Generators of the group modulo torsion |
j |
-308915776/378225 |
j-invariant |
L |
5.880670689941 |
L(r)(E,1)/r! |
Ω |
0.78633527048887 |
Real period |
R |
0.93482241462179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59040bn2 118080ck1 19680r2 |
Quadratic twists by: -4 8 -3 |