Atkin-Lehner |
2- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18700m |
Isogeny class |
Conductor |
18700 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2736 |
Modular degree for the optimal curve |
Δ |
-1870000 = -1 · 24 · 54 · 11 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- -3 11- -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,88] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-45:1] [-1:11:1] |
Generators of the group modulo torsion |
j |
-409600/187 |
j-invariant |
L |
5.0395104050406 |
L(r)(E,1)/r! |
Ω |
2.463413950599 |
Real period |
R |
0.22730471280475 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74800cr1 18700i1 |
Quadratic twists by: -4 5 |