Atkin-Lehner |
2+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11840m |
Isogeny class |
Conductor |
11840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3968 |
Modular degree for the optimal curve |
Δ |
-6062080 = -1 · 215 · 5 · 37 |
Discriminant |
Eigenvalues |
2+ -2 5- -5 5 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,-257] |
[a1,a2,a3,a4,a6] |
j |
-941192/185 |
j-invariant |
L |
1.6616263495887 |
L(r)(E,1)/r! |
Ω |
0.83081317479433 |
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 |
11840l1 5920e1 106560bp1 59200bd1 |
Quadratic twists by: -4 8 -3 5 |