Atkin-Lehner |
3+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16965b |
Isogeny class |
Conductor |
16965 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-113649457471875 = -1 · 39 · 55 · 133 · 292 |
Discriminant |
Eigenvalues |
2 3+ 5+ -5 3 13- 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12663,-750931] |
[a1,a2,a3,a4,a6] |
j |
-11408859721728/5773990625 |
j-invariant |
L |
2.6371837649174 |
L(r)(E,1)/r! |
Ω |
0.21976531374312 |
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 |
16965d1 84825c1 |
Quadratic twists by: -3 5 |