Atkin-Lehner |
2+ 5- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
38350k |
Isogeny class |
Conductor |
38350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
-12463750 = -1 · 2 · 54 · 132 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5- -1 -4 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-167,891] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:33:1] |
Generators of the group modulo torsion |
j |
-826904025/19942 |
j-invariant |
L |
3.0689424589874 |
L(r)(E,1)/r! |
Ω |
2.2473002294544 |
Real period |
R |
0.22760217042979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38350z1 |
Quadratic twists by: 5 |