Atkin-Lehner |
3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16575a |
Isogeny class |
Conductor |
16575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3817170703125 = 32 · 58 · 13 · 174 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-390150,-93961125] |
[a1,a2,a3,a4,a6] |
Generators |
[-3842278:1896373:10648] |
Generators of the group modulo torsion |
j |
420339554066191969/244298925 |
j-invariant |
L |
3.5294858642572 |
L(r)(E,1)/r! |
Ω |
0.19102557783953 |
Real period |
R |
9.2382546467736 |
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 |
49725j4 3315e3 |
Quadratic twists by: -3 5 |