Atkin-Lehner |
2+ 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
48480c |
Isogeny class |
Conductor |
48480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
290880 = 26 · 32 · 5 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -2 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-170,-912] |
[a1,a2,a3,a4,a6] |
Generators |
[12230:120456:125] |
Generators of the group modulo torsion |
j |
8539701184/4545 |
j-invariant |
L |
9.2293801176955 |
L(r)(E,1)/r! |
Ω |
1.3215649635785 |
Real period |
R |
6.9836749399756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48480l1 96960i1 |
Quadratic twists by: -4 8 |