Atkin-Lehner |
2- 3- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
106128bc |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-43315791704064 = -1 · 212 · 315 · 11 · 67 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11+ 5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3936,330608] |
[a1,a2,a3,a4,a6] |
Generators |
[-31933:853533:1331] |
Generators of the group modulo torsion |
j |
-2258403328/14506371 |
j-invariant |
L |
9.3425566837802 |
L(r)(E,1)/r! |
Ω |
0.55280611436932 |
Real period |
R |
8.4501205990737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016193 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6633i1 35376r1 |
Quadratic twists by: -4 -3 |