Atkin-Lehner |
2- 3- 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
80592s |
Isogeny class |
Conductor |
80592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-2.2556624422718E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 2 2 6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70168,228593300] |
[a1,a2,a3,a4,a6] |
Generators |
[42788:1403571:64] |
Generators of the group modulo torsion |
j |
-9327972294537625/5506988384452608 |
j-invariant |
L |
9.5553536453224 |
L(r)(E,1)/r! |
Ω |
0.17339996260973 |
Real period |
R |
6.8882321993702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998722 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10074k1 |
Quadratic twists by: -4 |