Atkin-Lehner |
2- 3+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
9204c |
Isogeny class |
Conductor |
9204 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
47713536 = 28 · 35 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-469,-3743] |
[a1,a2,a3,a4,a6] |
Generators |
[-312:1:27] |
Generators of the group modulo torsion |
j |
44660948992/186381 |
j-invariant |
L |
4.2104734180821 |
L(r)(E,1)/r! |
Ω |
1.0259784482429 |
Real period |
R |
4.1038614654069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36816o1 27612c1 119652a1 |
Quadratic twists by: -4 -3 13 |