Atkin-Lehner |
3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
65403m |
Isogeny class |
Conductor |
65403 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
18641048254255323 = 312 · 138 · 43 |
Discriminant |
Eigenvalues |
-1 3- 2 0 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-337694,75330506] |
[a1,a2,a3,a4,a6] |
Generators |
[258:2179:1] |
Generators of the group modulo torsion |
j |
1210333063393/5297643 |
j-invariant |
L |
4.4165747168898 |
L(r)(E,1)/r! |
Ω |
0.38893175817403 |
Real period |
R |
2.8389136551454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000204 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21801h2 5031d2 |
Quadratic twists by: -3 13 |