Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296cf |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-203878928448 = -1 · 26 · 38 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1329,-11144] |
[a1,a2,a3,a4,a6] |
Generators |
[684:17914:1] |
Generators of the group modulo torsion |
j |
5564051648/4369833 |
j-invariant |
L |
4.4494923548769 |
L(r)(E,1)/r! |
Ω |
0.55785983132174 |
Real period |
R |
3.9880021014834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296ce1 63648k2 42432cf1 |
Quadratic twists by: -4 8 -3 |