Atkin-Lehner |
2- 3- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32364m |
Isogeny class |
Conductor |
32364 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1509974784 = 28 · 38 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 0 4 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-327,-1298] |
[a1,a2,a3,a4,a6] |
j |
20720464/8091 |
j-invariant |
L |
2.3214455367115 |
L(r)(E,1)/r! |
Ω |
1.1607227683563 |
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 |
129456by1 10788b1 |
Quadratic twists by: -4 -3 |