Atkin-Lehner |
5- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
18425h |
Isogeny class |
Conductor |
18425 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
-3166796875 = -1 · 58 · 112 · 67 |
Discriminant |
Eigenvalues |
-1 -2 5- -4 11+ 6 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-138,2767] |
[a1,a2,a3,a4,a6] |
Generators |
[27:124:1] |
Generators of the group modulo torsion |
j |
-744385/8107 |
j-invariant |
L |
1.7003499417178 |
L(r)(E,1)/r! |
Ω |
1.2076519272295 |
Real period |
R |
0.2346633583429 |
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 |
18425a1 |
Quadratic twists by: 5 |