Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59040w |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
3483648 |
Modular degree for the optimal curve |
Δ |
-1.4707629675E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 5 2 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4111368,-4873371856] |
[a1,a2,a3,a4,a6] |
Generators |
[4388:312500:1] |
Generators of the group modulo torsion |
j |
2573921453911778816/4925555419921875 |
j-invariant |
L |
7.2061224175268 |
L(r)(E,1)/r! |
Ω |
0.065225033779933 |
Real period |
R |
1.9728737572361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997335 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59040r1 118080eh1 19680q1 |
Quadratic twists by: -4 8 -3 |