Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600co |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7353062500000000 = -1 · 28 · 512 · 76 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44508,-5469988] |
[a1,a2,a3,a4,a6] |
Generators |
[7753984292797374:-171180822158003125:13342407302232] |
Generators of the group modulo torsion |
j |
-20720464/15625 |
j-invariant |
L |
7.2232597475218 |
L(r)(E,1)/r! |
Ω |
0.15913551121175 |
Real period |
R |
22.695310721409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4900k4 78400ik4 3920bf4 400e4 |
Quadratic twists by: -4 8 5 -7 |