Atkin-Lehner |
3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21645d |
Isogeny class |
Conductor |
21645 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-948724700625 = -1 · 38 · 54 · 132 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -2 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1823,56072] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:304:1] [3:223:1] |
Generators of the group modulo torsion |
j |
-918613512361/1301405625 |
j-invariant |
L |
4.4432641645577 |
L(r)(E,1)/r! |
Ω |
0.7940524861585 |
Real period |
R |
1.398920172788 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7215i2 108225y2 |
Quadratic twists by: -3 5 |