Atkin-Lehner |
2- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64064y |
Isogeny class |
Conductor |
64064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
952320 |
Modular degree for the optimal curve |
Δ |
-624078985571385344 = -1 · 214 · 72 · 115 · 136 |
Discriminant |
Eigenvalues |
2- 3 -1 7+ 11+ 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,129392,33521504] |
[a1,a2,a3,a4,a6] |
j |
14622648823378944/38090758396691 |
j-invariant |
L |
3.2353341172838 |
L(r)(E,1)/r! |
Ω |
0.20220838227028 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64064r1 16016c1 |
Quadratic twists by: -4 8 |