Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3432i |
Isogeny class |
Conductor |
3432 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-43490304 = -1 · 210 · 33 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11- 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,88,0] |
[a1,a2,a3,a4,a6] |
j |
72765788/42471 |
j-invariant |
L |
3.58911407525 |
L(r)(E,1)/r! |
Ω |
1.1963713584167 |
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 |
6864b1 27456j1 10296c1 85800i1 |
Quadratic twists by: -4 8 -3 5 |