Atkin-Lehner |
5- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
80465p |
Isogeny class |
Conductor |
80465 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
10036224 |
Modular degree for the optimal curve |
Δ |
1.7169873959144E+24 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 11+ -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59007972,-162663904906] |
[a1,a2,a3,a4,a6] |
Generators |
[10172:532986:1] |
Generators of the group modulo torsion |
j |
9636550589444465331/728170265382875 |
j-invariant |
L |
3.5537802847505 |
L(r)(E,1)/r! |
Ω |
0.054732146215775 |
Real period |
R |
7.2144891748619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80465g1 |
Quadratic twists by: -11 |