Atkin-Lehner |
5+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36575h |
Isogeny class |
Conductor |
36575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
76007421875 = 58 · 72 · 11 · 192 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- 11- 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1813,-27344] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:47:1] |
Generators of the group modulo torsion |
j |
42180533641/4864475 |
j-invariant |
L |
5.2689785031131 |
L(r)(E,1)/r! |
Ω |
0.73714185483375 |
Real period |
R |
1.7869621934243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7315c2 |
Quadratic twists by: 5 |