Atkin-Lehner |
2+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22960b |
Isogeny class |
Conductor |
22960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
8036000000 = 28 · 56 · 72 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 2 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-503,502] |
[a1,a2,a3,a4,a6] |
j |
54977843664/31390625 |
j-invariant |
L |
2.250682667757 |
L(r)(E,1)/r! |
Ω |
1.1253413338785 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11480a1 91840bn1 114800a1 |
Quadratic twists by: -4 8 5 |