Atkin-Lehner |
2- 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
128316d |
Isogeny class |
Conductor |
128316 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-76134140838144 = -1 · 28 · 32 · 176 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 4 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10308,114840] |
[a1,a2,a3,a4,a6] |
Generators |
[414:8670:1] |
Generators of the group modulo torsion |
j |
19600688/12321 |
j-invariant |
L |
8.3989163339457 |
L(r)(E,1)/r! |
Ω |
0.37974262855035 |
Real period |
R |
1.8431159475906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976333 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
444b2 |
Quadratic twists by: 17 |