Atkin-Lehner |
2- 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162bw |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-1555255296 = -1 · 212 · 33 · 73 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -4 -1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-314,2937] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:51:1] [9:-33:1] |
Generators of the group modulo torsion |
j |
-368601813/167936 |
j-invariant |
L |
10.726840604899 |
L(r)(E,1)/r! |
Ω |
1.4068132682644 |
Real period |
R |
0.15885252931336 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36162d1 36162bs1 |
Quadratic twists by: -3 -7 |