Atkin-Lehner |
5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4165i |
Isogeny class |
Conductor |
4165 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
Δ |
25421142578125 = 515 · 72 · 17 |
Discriminant |
Eigenvalues |
0 -1 5- 7- -6 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8465,178968] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:312:1] |
Generators of the group modulo torsion |
j |
1369177719046144/518798828125 |
j-invariant |
L |
2.4502548366448 |
L(r)(E,1)/r! |
Ω |
0.61192221293558 |
Real period |
R |
0.26694622125147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66640cd2 37485bc2 20825n2 4165c2 |
Quadratic twists by: -4 -3 5 -7 |