Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162cp |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-5.2119898917721E+24 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-199886126,-1093214267715] |
[a1,a2,a3,a4,a6] |
j |
-10298071306410575356297/60769798505543808 |
j-invariant |
L |
0.56192548672835 |
L(r)(E,1)/r! |
Ω |
0.020068767383102 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12054h2 738h2 |
Quadratic twists by: -3 -7 |