Atkin-Lehner |
2+ 5+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
7310f |
Isogeny class |
Conductor |
7310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17957015000 = 23 · 54 · 174 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1985,33925] |
[a1,a2,a3,a4,a6] |
Generators |
[33:43:1] |
Generators of the group modulo torsion |
j |
865223502622569/17957015000 |
j-invariant |
L |
2.8825498091873 |
L(r)(E,1)/r! |
Ω |
1.2272036246035 |
Real period |
R |
1.1744382722625 |
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 |
58480f3 65790ck3 36550o3 124270m3 |
Quadratic twists by: -4 -3 5 17 |