Atkin-Lehner |
2+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36064a |
Isogeny class |
Conductor |
36064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-14749510186432 = -1 · 26 · 77 · 234 |
Discriminant |
Eigenvalues |
2+ -2 4 7- 4 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17166,879472] |
[a1,a2,a3,a4,a6] |
j |
-74299881664/1958887 |
j-invariant |
L |
2.8003531630239 |
L(r)(E,1)/r! |
Ω |
0.70008829074506 |
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 |
36064b1 72128bk1 5152a1 |
Quadratic twists by: -4 8 -7 |