Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22320t |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-35948876267520 = -1 · 233 · 33 · 5 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 -4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11403,-550342] |
[a1,a2,a3,a4,a6] |
j |
-1482713947827/325058560 |
j-invariant |
L |
0.91331744515721 |
L(r)(E,1)/r! |
Ω |
0.2283293612893 |
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 |
2790q1 89280do1 22320z2 111600ck1 |
Quadratic twists by: -4 8 -3 5 |