Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22320bg |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-289267200000 = -1 · 212 · 36 · 55 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -6 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1392,16432] |
[a1,a2,a3,a4,a6] |
Generators |
[16203:397709:27] |
Generators of the group modulo torsion |
j |
99897344/96875 |
j-invariant |
L |
5.5201676811672 |
L(r)(E,1)/r! |
Ω |
0.63985163396124 |
Real period |
R |
8.6272619903969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1395c1 89280fd1 2480m1 111600dy1 |
Quadratic twists by: -4 8 -3 5 |