Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775cb |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-5975486461546875 = -1 · 36 · 56 · 79 · 13 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -2 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,5717,-3713531] |
[a1,a2,a3,a4,a6] |
Generators |
[359:6688:1] |
Generators of the group modulo torsion |
j |
32768/9477 |
j-invariant |
L |
5.5329443157654 |
L(r)(E,1)/r! |
Ω |
0.19988337050431 |
Real period |
R |
2.3067386337172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1911a1 47775o1 |
Quadratic twists by: 5 -7 |