Atkin-Lehner |
2- 3+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
17304f |
Isogeny class |
Conductor |
17304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-139539456 = -1 · 210 · 33 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 0 -1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,128,-164] |
[a1,a2,a3,a4,a6] |
Generators |
[6:28:1] |
Generators of the group modulo torsion |
j |
224727548/136269 |
j-invariant |
L |
2.7955405985519 |
L(r)(E,1)/r! |
Ω |
1.0682897665176 |
Real period |
R |
0.65420934613666 |
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 |
34608e1 51912i1 121128bb1 |
Quadratic twists by: -4 -3 -7 |