Atkin-Lehner |
2+ 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78320d |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
275686400 = 210 · 52 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 11+ 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176,-476] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:22:1] |
Generators of the group modulo torsion |
j |
592143556/269225 |
j-invariant |
L |
4.2266582621809 |
L(r)(E,1)/r! |
Ω |
1.3676292557361 |
Real period |
R |
0.77262500845215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000258 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39160f1 |
Quadratic twists by: -4 |