Atkin-Lehner |
2- 3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
9204b |
Isogeny class |
Conductor |
9204 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-653150594304 = -1 · 28 · 39 · 133 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 3 -4 1 13+ -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1916,-22328] |
[a1,a2,a3,a4,a6] |
j |
3036991483568/2551369509 |
j-invariant |
L |
1.5081142587029 |
L(r)(E,1)/r! |
Ω |
0.50270475290097 |
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 |
36816s1 27612e1 119652d1 |
Quadratic twists by: -4 -3 13 |