Atkin-Lehner |
3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33327q |
Isogeny class |
Conductor |
33327 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-6653557883763 = -1 · 313 · 73 · 233 |
Discriminant |
Eigenvalues |
2 3- -2 7- 3 4 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,4209,-65993] |
[a1,a2,a3,a4,a6] |
j |
929714176/750141 |
j-invariant |
L |
4.9922141200368 |
L(r)(E,1)/r! |
Ω |
0.41601784333612 |
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 |
11109b1 33327k1 |
Quadratic twists by: -3 -23 |