Atkin-Lehner |
2+ 3- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77520z |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
150233760000 = 28 · 32 · 54 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1500,-12852] |
[a1,a2,a3,a4,a6] |
j |
1458972216016/586850625 |
j-invariant |
L |
3.1773511950291 |
L(r)(E,1)/r! |
Ω |
0.79433779652112 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38760e2 |
Quadratic twists by: -4 |