Atkin-Lehner |
2+ 3- 7- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33558m |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
196 |
Product of Tamagawa factors cp |
deg |
790272 |
Modular degree for the optimal curve |
Δ |
-298817076116404314 = -1 · 2 · 37 · 77 · 17 · 474 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -3 -3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2571139,-1587283840] |
[a1,a2,a3,a4,a6] |
Generators |
[3892:-219580:1] |
Generators of the group modulo torsion |
j |
-1879750189024866586001449/298817076116404314 |
j-invariant |
L |
4.3615822183966 |
L(r)(E,1)/r! |
Ω |
0.059612048810783 |
Real period |
R |
0.37329652219565 |
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 |
100674bj1 |
Quadratic twists by: -3 |