Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18590i |
Isogeny class |
Conductor |
18590 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-2123795960 = -1 · 23 · 5 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 11- 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-173,2368] |
[a1,a2,a3,a4,a6] |
Generators |
[86:291:8] |
Generators of the group modulo torsion |
j |
-117649/440 |
j-invariant |
L |
4.7847473381687 |
L(r)(E,1)/r! |
Ω |
1.2819792812835 |
Real period |
R |
1.8661562663393 |
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 |
92950cg1 110b1 |
Quadratic twists by: 5 13 |