Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480bt |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2159802839040 = 212 · 3 · 5 · 74 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3256,-9680] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:98:1] |
Generators of the group modulo torsion |
j |
932288503609/527295615 |
j-invariant |
L |
3.8762505262774 |
L(r)(E,1)/r! |
Ω |
0.68141748725698 |
Real period |
R |
1.4221276232142 |
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 |
1155h4 73920ij3 55440et3 92400gb3 |
Quadratic twists by: -4 8 -3 5 |