Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600dt |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-6168195891200000000 = -1 · 227 · 58 · 76 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 3 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,430792,-49194412] |
[a1,a2,a3,a4,a6] |
j |
46969655/32768 |
j-invariant |
L |
3.2346123164902 |
L(r)(E,1)/r! |
Ω |
0.13477551318709 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2450p4 78400kp4 19600ch2 400c4 |
Quadratic twists by: -4 8 5 -7 |