Atkin-Lehner |
3- 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33579b |
Isogeny class |
Conductor |
33579 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-3185004448899 = -1 · 36 · 7 · 135 · 412 |
Discriminant |
Eigenvalues |
0 3- -1 7+ 0 13- -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,792,-85435] |
[a1,a2,a3,a4,a6] |
Generators |
[49:266:1] |
Generators of the group modulo torsion |
j |
75365351424/4369004731 |
j-invariant |
L |
3.7613943770017 |
L(r)(E,1)/r! |
Ω |
0.3809574371875 |
Real period |
R |
0.49367645960283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3731a1 |
Quadratic twists by: -3 |