Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480z |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
646652160000 = 211 · 38 · 54 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2053360,1131835508] |
[a1,a2,a3,a4,a6] |
Generators |
[971:7380:1] |
Generators of the group modulo torsion |
j |
467508233804095622882/315748125 |
j-invariant |
L |
6.2167771018835 |
L(r)(E,1)/r! |
Ω |
0.56250406514053 |
Real period |
R |
2.7629920773685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9240y5 73920ej6 55440m6 92400n6 |
Quadratic twists by: -4 8 -3 5 |