Atkin-Lehner |
2- 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162bv |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-218970300361636404 = -1 · 22 · 39 · 79 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 0 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11193986,14418167509] |
[a1,a2,a3,a4,a6] |
j |
-66988217452346091/94559612 |
j-invariant |
L |
6.4247769018769 |
L(r)(E,1)/r! |
Ω |
0.26769903757816 |
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 |
36162e1 5166z2 |
Quadratic twists by: -3 -7 |