Atkin-Lehner |
2- 3- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162bx |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-11625685218 = -1 · 2 · 310 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 -5 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-230,5415] |
[a1,a2,a3,a4,a6] |
j |
-765625/6642 |
j-invariant |
L |
2.1782106161594 |
L(r)(E,1)/r! |
Ω |
1.0891053080774 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054a1 36162cc1 |
Quadratic twists by: -3 -7 |