Atkin-Lehner |
3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775u |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-71692359375 = -1 · 3 · 56 · 76 · 13 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,587,11906] |
[a1,a2,a3,a4,a6] |
Generators |
[10:132:1] |
Generators of the group modulo torsion |
j |
12167/39 |
j-invariant |
L |
3.2303498170266 |
L(r)(E,1)/r! |
Ω |
0.77300804501749 |
Real period |
R |
2.0894671393507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999724 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1911f1 975g1 |
Quadratic twists by: 5 -7 |