Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850bi |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
55440978796875000 = 23 · 3 · 59 · 72 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-382088,-90356719] |
[a1,a2,a3,a4,a6] |
Generators |
[-361:1013:1] |
Generators of the group modulo torsion |
j |
394815279796185529/3548222643000 |
j-invariant |
L |
5.7542098409071 |
L(r)(E,1)/r! |
Ω |
0.19212957600532 |
Real period |
R |
1.6638683701982 |
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 |
53550z4 3570j4 124950hv4 |
Quadratic twists by: -3 5 -7 |