Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800kg |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-158676839301120000 = -1 · 221 · 3 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-274808,-58759212] |
[a1,a2,a3,a4,a6] |
Generators |
[1542:56448:1] |
Generators of the group modulo torsion |
j |
-7620530425/526848 |
j-invariant |
L |
6.5553627477902 |
L(r)(E,1)/r! |
Ω |
0.10384476402512 |
Real period |
R |
2.6302733417257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999335 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350s2 58800gg2 8400br2 |
Quadratic twists by: -4 5 -7 |