Atkin-Lehner |
2- 3+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
106176bi |
Isogeny class |
Conductor |
106176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-927635079168 = -1 · 218 · 34 · 7 · 792 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 -6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-929,-47295] |
[a1,a2,a3,a4,a6] |
Generators |
[77:576:1] |
Generators of the group modulo torsion |
j |
-338608873/3538647 |
j-invariant |
L |
2.1788721764548 |
L(r)(E,1)/r! |
Ω |
0.37529508606024 |
Real period |
R |
1.4514393232302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999704582 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106176v1 26544q1 |
Quadratic twists by: -4 8 |