Atkin-Lehner |
2- 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
14008b |
Isogeny class |
Conductor |
14008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
-8096624 = -1 · 24 · 173 · 103 |
Discriminant |
Eigenvalues |
2- 0 3 -2 5 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29,123] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:3:1] |
Generators of the group modulo torsion |
j |
168576768/506039 |
j-invariant |
L |
5.5628377627281 |
L(r)(E,1)/r! |
Ω |
1.643876462464 |
Real period |
R |
1.691987776986 |
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 |
28016a1 112064d1 126072k1 |
Quadratic twists by: -4 8 -3 |