Atkin-Lehner |
2+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18368c |
Isogeny class |
Conductor |
18368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
26425054724096 = 228 · 74 · 41 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 6 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-131937,18400255] |
[a1,a2,a3,a4,a6] |
Generators |
[90:2695:1] |
Generators of the group modulo torsion |
j |
968917714969177/100803584 |
j-invariant |
L |
4.3283099394998 |
L(r)(E,1)/r! |
Ω |
0.64102409226562 |
Real period |
R |
3.3760899096647 |
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 |
18368ba1 574b1 128576bq1 |
Quadratic twists by: -4 8 -7 |