Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640n |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
243045684000000 = 28 · 311 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79023,-8517278] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:162:1] |
Generators of the group modulo torsion |
j |
852555455152/3796875 |
j-invariant |
L |
4.6169348022185 |
L(r)(E,1)/r! |
Ω |
0.28482463753662 |
Real period |
R |
2.0262181504686 |
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 |
35280ba2 5880bh2 88200fx2 17640bb2 |
Quadratic twists by: -4 -3 5 -7 |