Atkin-Lehner |
2+ 3- 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
36270r |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.5500574112982E+31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12695718150,516990940712500] |
[a1,a2,a3,a4,a6] |
Generators |
[-511904831487794764:-708696430790131430002:25680208046527] |
Generators of the group modulo torsion |
j |
310433085028455460797438794210401/21262790278439255798609760000 |
j-invariant |
L |
3.4597890238182 |
L(r)(E,1)/r! |
Ω |
0.021677695578365 |
Real period |
R |
19.950166124156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090x3 |
Quadratic twists by: -3 |