Atkin-Lehner |
2- 3- 5+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
96570q |
Isogeny class |
Conductor |
96570 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
-1003480532582400 = -1 · 216 · 39 · 52 · 292 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-111173,14376381] |
[a1,a2,a3,a4,a6] |
Generators |
[311:-3288:1] [-337:3840:1] |
Generators of the group modulo torsion |
j |
-208444527289245961/1376516505600 |
j-invariant |
L |
13.849196510096 |
L(r)(E,1)/r! |
Ω |
0.49635211787649 |
Real period |
R |
0.43596811154109 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990855 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32190g1 |
Quadratic twists by: -3 |