Atkin-Lehner |
3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
83655w |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1255749480492024375 = -1 · 37 · 54 · 114 · 137 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,220513,36252974] |
[a1,a2,a3,a4,a6] |
Generators |
[244:-10347:1] |
Generators of the group modulo torsion |
j |
337008232079/356874375 |
j-invariant |
L |
2.6958132981999 |
L(r)(E,1)/r! |
Ω |
0.18041878648565 |
Real period |
R |
0.9338735416966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000803 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27885r3 6435j4 |
Quadratic twists by: -3 13 |