Atkin-Lehner |
2+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
18512a |
Isogeny class |
Conductor |
18512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-966354992006144 = -1 · 210 · 132 · 895 |
Discriminant |
Eigenvalues |
2+ -1 -1 0 2 13+ 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16656,-1703696] |
[a1,a2,a3,a4,a6] |
Generators |
[622:15106:1] |
Generators of the group modulo torsion |
j |
-499070576480836/943706046881 |
j-invariant |
L |
3.6309078962105 |
L(r)(E,1)/r! |
Ω |
0.19784966476046 |
Real period |
R |
4.5879631646161 |
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 |
9256b1 74048v1 |
Quadratic twists by: -4 8 |