Atkin-Lehner |
2+ 3+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33072c |
Isogeny class |
Conductor |
33072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-12521332242432 = -1 · 211 · 35 · 132 · 533 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -3 3 13- -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5648,46048] |
[a1,a2,a3,a4,a6] |
j |
9727493027614/6113931759 |
j-invariant |
L |
1.7654847121498 |
L(r)(E,1)/r! |
Ω |
0.4413711780356 |
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 |
16536h1 99216r1 |
Quadratic twists by: -4 -3 |