Atkin-Lehner |
2+ 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162s |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.1681196966707E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3395268,-1758286440] |
[a1,a2,a3,a4,a6] |
Generators |
[-1481:5223:1] |
Generators of the group modulo torsion |
j |
50469638798675377/13619826605784 |
j-invariant |
L |
3.4017331974694 |
L(r)(E,1)/r! |
Ω |
0.11346607612382 |
Real period |
R |
7.4950445844219 |
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 |
12054bn4 5166s4 |
Quadratic twists by: -3 -7 |