Atkin-Lehner |
2- 3+ 7- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33558bf |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-846856801728 = -1 · 26 · 32 · 72 · 172 · 473 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1211,-40693] |
[a1,a2,a3,a4,a6] |
Generators |
[29:126:1] |
Generators of the group modulo torsion |
j |
196396492494383/846856801728 |
j-invariant |
L |
6.077263552415 |
L(r)(E,1)/r! |
Ω |
0.45017401094059 |
Real period |
R |
0.37499471838291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100674q1 |
Quadratic twists by: -3 |