Atkin-Lehner |
2+ 3+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
106176j |
Isogeny class |
Conductor |
106176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
6604996608 = 214 · 36 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-593,-3759] |
[a1,a2,a3,a4,a6] |
Generators |
[43:220:1] |
Generators of the group modulo torsion |
j |
1409938000/403137 |
j-invariant |
L |
6.5814311046937 |
L(r)(E,1)/r! |
Ω |
0.98838819683415 |
Real period |
R |
3.3293756051503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106176bu1 13272g1 |
Quadratic twists by: -4 8 |