Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640cs |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
439122539520 = 210 · 36 · 5 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47187,-3945186] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:8:1] |
Generators of the group modulo torsion |
j |
132304644/5 |
j-invariant |
L |
5.1918055919648 |
L(r)(E,1)/r! |
Ω |
0.32392535819022 |
Real period |
R |
2.0034729686537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280ck4 1960b3 88200ct4 360e3 |
Quadratic twists by: -4 -3 5 -7 |