Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240ew |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
167120149708800 = 215 · 36 · 52 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15948,462672] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:440:1] [-99:1035:1] |
Generators of the group modulo torsion |
j |
18778674312/6996025 |
j-invariant |
L |
9.7923979268784 |
L(r)(E,1)/r! |
Ω |
0.52376937992549 |
Real period |
R |
1.1685006682088 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240eh4 33120r3 7360t3 |
Quadratic twists by: -4 8 -3 |