Atkin-Lehner |
2- 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162bm |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
52416 |
Modular degree for the optimal curve |
Δ |
-2093176183896 = -1 · 23 · 33 · 78 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -1 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1093,-68477] |
[a1,a2,a3,a4,a6] |
Generators |
[37:128:1] |
Generators of the group modulo torsion |
j |
928557/13448 |
j-invariant |
L |
9.0890064846752 |
L(r)(E,1)/r! |
Ω |
0.40403560696181 |
Real period |
R |
0.62487661483745 |
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 |
36162a1 36162bq1 |
Quadratic twists by: -3 -7 |