Atkin-Lehner |
3- 5- 7+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
128205ba |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6174720 |
Modular degree for the optimal curve |
Δ |
-2.715267461921E+21 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4015967,-3984070354] |
[a1,a2,a3,a4,a6] |
Generators |
[3480535082759921299442:-222625459927069783704343:697149174254930873] |
Generators of the group modulo torsion |
j |
-9825767619968705664169/3724646724171474255 |
j-invariant |
L |
3.78133464513 |
L(r)(E,1)/r! |
Ω |
0.052337154178564 |
Real period |
R |
36.124762987911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000171382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42735h1 |
Quadratic twists by: -3 |