Atkin-Lehner |
2- 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
33150by |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-17507343750 = -1 · 2 · 3 · 57 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -3 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-438,7242] |
[a1,a2,a3,a4,a6] |
j |
-594823321/1120470 |
j-invariant |
L |
4.3898858926076 |
L(r)(E,1)/r! |
Ω |
1.0974714731523 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99450n1 6630g1 |
Quadratic twists by: -3 5 |