Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
18096q |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-9265152 = -1 · 213 · 3 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -3 13+ -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,-144] |
[a1,a2,a3,a4,a6] |
Generators |
[10:26:1] |
Generators of the group modulo torsion |
j |
-15625/2262 |
j-invariant |
L |
3.8933850761473 |
L(r)(E,1)/r! |
Ω |
1.025284661256 |
Real period |
R |
1.898684932718 |
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 |
2262d1 72384dh1 54288bd1 |
Quadratic twists by: -4 8 -3 |