Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22320bx |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-28926720 = -1 · 28 · 36 · 5 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-912,10604] |
[a1,a2,a3,a4,a6] |
j |
-449511424/155 |
j-invariant |
L |
4.1149030437723 |
L(r)(E,1)/r! |
Ω |
2.0574515218862 |
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 |
5580f1 89280ei1 2480h1 111600ek1 |
Quadratic twists by: -4 8 -3 5 |