Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8280m |
Isogeny class |
Conductor |
8280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-923858394888960 = -1 · 28 · 322 · 5 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 2 2 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2532,1463204] |
[a1,a2,a3,a4,a6] |
j |
-9619385344/4950372915 |
j-invariant |
L |
3.2222636038358 |
L(r)(E,1)/r! |
Ω |
0.40278295047947 |
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 |
16560s1 66240ca1 2760e1 41400bq1 |
Quadratic twists by: -4 8 -3 5 |