Atkin-Lehner |
2+ 3- 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
27018c |
Isogeny class |
Conductor |
27018 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2177280 |
Modular degree for the optimal curve |
Δ |
3.2344790553462E+20 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 -2 -1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18809091,-31381216619] |
[a1,a2,a3,a4,a6] |
j |
1009484417725464100086577/443687113216217536 |
j-invariant |
L |
1.1599493887219 |
L(r)(E,1)/r! |
Ω |
0.072496836795124 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3002b1 |
Quadratic twists by: -3 |