Atkin-Lehner |
3- 7- 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109557n |
Isogeny class |
Conductor |
109557 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
155648 |
Modular degree for the optimal curve |
Δ |
-186170100543 = -1 · 310 · 72 · 372 · 47 |
Discriminant |
Eigenvalues |
1 3- -2 7- 6 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-63,20776] |
[a1,a2,a3,a4,a6] |
Generators |
[8:140:1] |
Generators of the group modulo torsion |
j |
-38272753/255377367 |
j-invariant |
L |
8.6986294036991 |
L(r)(E,1)/r! |
Ω |
0.80927824743785 |
Real period |
R |
2.6871565716292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999542254 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36519e1 |
Quadratic twists by: -3 |