Atkin-Lehner |
3- 13- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
83421r |
Isogeny class |
Conductor |
83421 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-201300795891 = -1 · 36 · 13 · 23 · 314 |
Discriminant |
Eigenvalues |
0 3- 1 0 -1 13- -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-282,21663] |
[a1,a2,a3,a4,a6] |
j |
-3402072064/276132779 |
j-invariant |
L |
1.6536544901688 |
L(r)(E,1)/r! |
Ω |
0.82682726207216 |
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 |
9269c1 |
Quadratic twists by: -3 |