Atkin-Lehner |
3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18525s |
Isogeny class |
Conductor |
18525 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-292602375 = -1 · 36 · 53 · 132 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 0 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-583,5432] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-31:1] |
Generators of the group modulo torsion |
j |
-175333911173/2340819 |
j-invariant |
L |
3.2973437747064 |
L(r)(E,1)/r! |
Ω |
1.7357222193797 |
Real period |
R |
0.31661592485738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55575bg1 18525i1 |
Quadratic twists by: -3 5 |