Atkin-Lehner |
3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36075a |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6.9563557935076E+20 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,713875,-1247248500] |
[a1,a2,a3,a4,a6] |
Generators |
[380817415355293784654740:-5172196875867547464714895:420936771384909153856] |
Generators of the group modulo torsion |
j |
2574952695760227119/44520677078448675 |
j-invariant |
L |
4.7544570178833 |
L(r)(E,1)/r! |
Ω |
0.078465889196246 |
Real period |
R |
30.296330460184 |
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 |
108225h5 7215j6 |
Quadratic twists by: -3 5 |