Atkin-Lehner |
2+ 3+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
106176a |
Isogeny class |
Conductor |
106176 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-106176 = -1 · 26 · 3 · 7 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 6 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15,33] |
[a1,a2,a3,a4,a6] |
Generators |
[8:19:1] |
Generators of the group modulo torsion |
j |
-6229504/1659 |
j-invariant |
L |
6.7876905793569 |
L(r)(E,1)/r! |
Ω |
3.1819482847739 |
Real period |
R |
2.1331869584346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106176z1 53088n1 |
Quadratic twists by: -4 8 |