Atkin-Lehner |
3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
15609j |
Isogeny class |
Conductor |
15609 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
2056782321 = 33 · 116 · 43 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2967,61920] |
[a1,a2,a3,a4,a6] |
j |
1630532233/1161 |
j-invariant |
L |
2.1859847294292 |
L(r)(E,1)/r! |
Ω |
1.4573231529528 |
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 |
46827q1 129b2 |
Quadratic twists by: -3 -11 |