Atkin-Lehner |
2+ 3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048b |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
83109970944 = 210 · 34 · 72 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3024,63504] |
[a1,a2,a3,a4,a6] |
Generators |
[0:252:1] |
Generators of the group modulo torsion |
j |
2987533088068/81162081 |
j-invariant |
L |
3.6465601186063 |
L(r)(E,1)/r! |
Ω |
1.0769110598498 |
Real period |
R |
0.84653233089503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998932 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24024r2 |
Quadratic twists by: -4 |