Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928by |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-831644319744 = -1 · 214 · 36 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 1 -1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1308,-47504] |
[a1,a2,a3,a4,a6] |
Generators |
[66:392:1] |
Generators of the group modulo torsion |
j |
-20720464/69629 |
j-invariant |
L |
6.9826815459216 |
L(r)(E,1)/r! |
Ω |
0.36509518410389 |
Real period |
R |
1.1953529233848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928di1 7308e1 12992q1 |
Quadratic twists by: -4 8 -3 |