Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5740b |
Isogeny class |
Conductor |
5740 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-15438304000 = -1 · 28 · 53 · 7 · 413 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,499,-4001] |
[a1,a2,a3,a4,a6] |
Generators |
[26:165:1] |
Generators of the group modulo torsion |
j |
53569150976/60305875 |
j-invariant |
L |
2.4924105418903 |
L(r)(E,1)/r! |
Ω |
0.67023885501829 |
Real period |
R |
3.7186900210706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22960h2 91840s2 51660r2 28700b2 |
Quadratic twists by: -4 8 -3 5 |