Atkin-Lehner |
2+ 3- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
13632i |
Isogeny class |
Conductor |
13632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-41877504 = -1 · 216 · 32 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -2 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,63,-225] |
[a1,a2,a3,a4,a6] |
j |
415292/639 |
j-invariant |
L |
2.1506419150868 |
L(r)(E,1)/r! |
Ω |
1.0753209575434 |
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 |
13632o1 1704a1 40896bc1 |
Quadratic twists by: -4 8 -3 |