Atkin-Lehner |
2+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33728f |
Isogeny class |
Conductor |
33728 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-155958272 = -1 · 210 · 173 · 31 |
Discriminant |
Eigenvalues |
2+ -1 4 0 -5 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-561,-4967] |
[a1,a2,a3,a4,a6] |
j |
-19102326016/152303 |
j-invariant |
L |
1.4705469280746 |
L(r)(E,1)/r! |
Ω |
0.49018230936543 |
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 |
33728o1 4216e1 |
Quadratic twists by: -4 8 |