Atkin-Lehner |
3- 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6063d |
Isogeny class |
Conductor |
6063 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
220656015621 = 310 · 433 · 47 |
Discriminant |
Eigenvalues |
-1 3- -1 0 -2 4 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2541,-44028] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:81:1] |
Generators of the group modulo torsion |
j |
1814464139696209/220656015621 |
j-invariant |
L |
2.842290616871 |
L(r)(E,1)/r! |
Ω |
0.67778677598417 |
Real period |
R |
0.13978292867221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97008p1 18189f1 |
Quadratic twists by: -4 -3 |