Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162s |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-400164641707880448 = -1 · 212 · 310 · 79 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,44532,30208464] |
[a1,a2,a3,a4,a6] |
Generators |
[261:7587:1] |
Generators of the group modulo torsion |
j |
113872553423/4665765888 |
j-invariant |
L |
3.4017331974694 |
L(r)(E,1)/r! |
Ω |
0.22693215224764 |
Real period |
R |
1.8737611461055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12054bn1 5166s1 |
Quadratic twists by: -3 -7 |