Atkin-Lehner |
2- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
17200r |
Isogeny class |
Conductor |
17200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-4403200 = -1 · 212 · 52 · 43 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -3 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48,148] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:16:1] [2:8:1] |
Generators of the group modulo torsion |
j |
-121945/43 |
j-invariant |
L |
4.7301415572886 |
L(r)(E,1)/r! |
Ω |
2.3127702313387 |
Real period |
R |
0.51130690515577 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1075c1 68800do1 17200bf1 |
Quadratic twists by: -4 8 5 |