Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162ci |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
8279040 |
Modular degree for the optimal curve |
Δ |
-1.8598167135432E+25 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -2 1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-111788438,-499983590235] |
[a1,a2,a3,a4,a6] |
j |
-5251755315347555743/632208394027008 |
j-invariant |
L |
2.0292290301109 |
L(r)(E,1)/r! |
Ω |
0.023059420797018 |
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 |
12054f1 36162da1 |
Quadratic twists by: -3 -7 |