Atkin-Lehner |
2+ 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33488b |
Isogeny class |
Conductor |
33488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-97220754176 = -1 · 28 · 74 · 13 · 233 |
Discriminant |
Eigenvalues |
2+ 1 1 7+ -5 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2945,-64309] |
[a1,a2,a3,a4,a6] |
j |
-11037916496896/379768571 |
j-invariant |
L |
0.64675279792377 |
L(r)(E,1)/r! |
Ω |
0.3233763989682 |
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 |
16744j1 |
Quadratic twists by: -4 |