Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640cx |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
105162624000000 = 213 · 36 · 56 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11800,-3052] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:-600:1] |
Generators of the group modulo torsion |
j |
44365623586201/25674468750 |
j-invariant |
L |
7.0721406528021 |
L(r)(E,1)/r! |
Ω |
0.50327003332422 |
Real period |
R |
0.19517191414035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830g2 115920cw2 |
Quadratic twists by: -4 -3 |