Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080a |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-805942080 = -1 · 26 · 32 · 5 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-116,-1410] |
[a1,a2,a3,a4,a6] |
Generators |
[5845:12230:343] |
Generators of the group modulo torsion |
j |
-2720547136/12592845 |
j-invariant |
L |
4.6836113689733 |
L(r)(E,1)/r! |
Ω |
0.6586717028021 |
Real period |
R |
7.1106916375008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22080bc1 11040h4 66240cs1 110400dm1 |
Quadratic twists by: -4 8 -3 5 |