Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
71232bo |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-294100402176 = -1 · 222 · 33 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 6 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1311,19071] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:105:1] |
Generators of the group modulo torsion |
j |
949862087/1121904 |
j-invariant |
L |
8.0789128296799 |
L(r)(E,1)/r! |
Ω |
0.64952922096808 |
Real period |
R |
2.073017545763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000451 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71232bz1 2226d1 |
Quadratic twists by: -4 8 |