Atkin-Lehner |
3- 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
80223l |
Isogeny class |
Conductor |
80223 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2078208 |
Modular degree for the optimal curve |
Δ |
-5780452911779543283 = -1 · 33 · 1110 · 134 · 172 |
Discriminant |
Eigenvalues |
2 3- -2 -3 11- 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-209854,-121518809] |
[a1,a2,a3,a4,a6] |
Generators |
[29123104:651071495:32768] |
Generators of the group modulo torsion |
j |
-39404941312/222861483 |
j-invariant |
L |
11.224009053231 |
L(r)(E,1)/r! |
Ω |
0.10007008301277 |
Real period |
R |
9.3467903611934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80223r1 |
Quadratic twists by: -11 |