Atkin-Lehner |
2+ 3- 7- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33558k |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-8720659461977064 = -1 · 23 · 315 · 7 · 173 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 3 -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-53337,6527428] |
[a1,a2,a3,a4,a6] |
j |
-16780224282184701577/8720659461977064 |
j-invariant |
L |
3.836843470859 |
L(r)(E,1)/r! |
Ω |
0.38368434708638 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
100674bs1 |
Quadratic twists by: -3 |