Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600dl |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-141237624500000000 = -1 · 28 · 59 · 710 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67375,-19293750] |
[a1,a2,a3,a4,a6] |
j |
-574992/2401 |
j-invariant |
L |
2.4287381451743 |
L(r)(E,1)/r! |
Ω |
0.13492989695413 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4900p2 78400ju2 19600dm2 2800bc2 |
Quadratic twists by: -4 8 5 -7 |