Atkin-Lehner |
3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33327b |
Isogeny class |
Conductor |
33327 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
5707786141527772869 = 39 · 7 · 2310 |
Discriminant |
Eigenvalues |
-1 3+ 1 7+ 2 0 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-472232,-48757922] |
[a1,a2,a3,a4,a6] |
j |
14283/7 |
j-invariant |
L |
1.5312998189885 |
L(r)(E,1)/r! |
Ω |
0.19141247737347 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33327a1 33327f1 |
Quadratic twists by: -3 -23 |