Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640j |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2593567499040000 = 28 · 39 · 54 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38367,-1537326] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:980:1] |
Generators of the group modulo torsion |
j |
10536048/4375 |
j-invariant |
L |
5.2804688592569 |
L(r)(E,1)/r! |
Ω |
0.35388249930051 |
Real period |
R |
0.93259571851079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280m2 17640bm2 88200es2 2520a2 |
Quadratic twists by: -4 -3 5 -7 |