Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38808d |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-2887531050096 = -1 · 24 · 33 · 73 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11+ -5 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4767,-150773] |
[a1,a2,a3,a4,a6] |
j |
-80850237696/19487171 |
j-invariant |
L |
2.2693542094417 |
L(r)(E,1)/r! |
Ω |
0.28366927618616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616s1 38808bt1 38808e1 |
Quadratic twists by: -4 -3 -7 |