Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800di |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5188320900000000 = 28 · 32 · 58 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44508,1010988] |
[a1,a2,a3,a4,a6] |
Generators |
[16746:762489:8] |
Generators of the group modulo torsion |
j |
20720464/11025 |
j-invariant |
L |
8.4528839577715 |
L(r)(E,1)/r! |
Ω |
0.37707932636698 |
Real period |
R |
5.6041815122141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29400q2 11760p2 8400i2 |
Quadratic twists by: -4 5 -7 |