Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928bz |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-33517933166592 = -1 · 223 · 39 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 1 -1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5484,319408] |
[a1,a2,a3,a4,a6] |
Generators |
[326:5760:1] |
Generators of the group modulo torsion |
j |
-95443993/175392 |
j-invariant |
L |
8.5989473518272 |
L(r)(E,1)/r! |
Ω |
0.58509497221664 |
Real period |
R |
1.8370836551553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000081923 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116928dj1 3654v1 38976y1 |
Quadratic twists by: -4 8 -3 |