Atkin-Lehner |
2+ 3- 5- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
104130ba |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
4730880 |
Modular degree for the optimal curve |
Δ |
-3.2429080944E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 13- -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-678699,892912005] |
[a1,a2,a3,a4,a6] |
Generators |
[831:29622:1] |
Generators of the group modulo torsion |
j |
-47427274920349357489/444843360000000000 |
j-invariant |
L |
4.2997694082569 |
L(r)(E,1)/r! |
Ω |
0.1465015337227 |
Real period |
R |
1.467482721714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34710bg1 |
Quadratic twists by: -3 |