Atkin-Lehner |
3+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
80223h |
Isogeny class |
Conductor |
80223 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3537140921299557 = 312 · 116 · 13 · 172 |
Discriminant |
Eigenvalues |
-1 3+ -4 -2 11- 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-39630,999846] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:1472:1] |
Generators of the group modulo torsion |
j |
3885442650361/1996623837 |
j-invariant |
L |
1.6521790688602 |
L(r)(E,1)/r! |
Ω |
0.39186188361954 |
Real period |
R |
2.108114037969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999591665 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
663a2 |
Quadratic twists by: -11 |