Atkin-Lehner |
2+ 3+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
35088d |
Isogeny class |
Conductor |
35088 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-595770660864 = -1 · 211 · 34 · 174 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,968,34960] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:170:1] |
Generators of the group modulo torsion |
j |
48929536654/290903643 |
j-invariant |
L |
5.9724917896335 |
L(r)(E,1)/r! |
Ω |
0.66327962627985 |
Real period |
R |
1.1255606898278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17544c4 105264j3 |
Quadratic twists by: -4 -3 |