Atkin-Lehner |
5+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
18425f |
Isogeny class |
Conductor |
18425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1488 |
Modular degree for the optimal curve |
Δ |
-202675 = -1 · 52 · 112 · 67 |
Discriminant |
Eigenvalues |
0 2 5+ -2 11- 0 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-33,88] |
[a1,a2,a3,a4,a6] |
Generators |
[8:16:1] |
Generators of the group modulo torsion |
j |
-163840000/8107 |
j-invariant |
L |
5.3503341911103 |
L(r)(E,1)/r! |
Ω |
3.1372988023551 |
Real period |
R |
0.85269757969722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18425i1 |
Quadratic twists by: 5 |