Atkin-Lehner |
3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21675c |
Isogeny class |
Conductor |
21675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
19093194228515625 = 34 · 510 · 176 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-72400,-3498125] |
[a1,a2,a3,a4,a6] |
Generators |
[-82490:1427371:1000] |
Generators of the group modulo torsion |
j |
111284641/50625 |
j-invariant |
L |
5.5245632085881 |
L(r)(E,1)/r! |
Ω |
0.30383345919541 |
Real period |
R |
9.0914332200571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65025bn3 4335d3 75b3 |
Quadratic twists by: -3 5 17 |