Atkin-Lehner |
2+ 3- 7+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
32214l |
Isogeny class |
Conductor |
32214 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19328 |
Modular degree for the optimal curve |
Δ |
-566193264 = -1 · 24 · 3 · 7 · 134 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-200,-1594] |
[a1,a2,a3,a4,a6] |
j |
-878392183033/566193264 |
j-invariant |
L |
1.2344646517388 |
L(r)(E,1)/r! |
Ω |
0.61723232586934 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96642bx1 |
Quadratic twists by: -3 |