Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296cf |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
11812914008064 = 212 · 310 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6276,-96320] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:153:1] |
Generators of the group modulo torsion |
j |
9155562688/3956121 |
j-invariant |
L |
4.4494923548769 |
L(r)(E,1)/r! |
Ω |
0.55785983132174 |
Real period |
R |
1.9940010507417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900851 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127296ce2 63648k1 42432cf2 |
Quadratic twists by: -4 8 -3 |