Atkin-Lehner |
2+ 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
104430k |
Isogeny class |
Conductor |
104430 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-139591998720 = -1 · 28 · 32 · 5 · 594 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 4 0 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3554,-83788] |
[a1,a2,a3,a4,a6] |
Generators |
[765:20713:1] |
Generators of the group modulo torsion |
j |
-409536169/11520 |
j-invariant |
L |
5.8628252333858 |
L(r)(E,1)/r! |
Ω |
0.30866299737023 |
Real period |
R |
4.7485649991956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104430z1 |
Quadratic twists by: -59 |