Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32490r |
Isogeny class |
Conductor |
32490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
209960859974400 = 28 · 314 · 52 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-232029,-42955515] |
[a1,a2,a3,a4,a6] |
Generators |
[-279:207:1] |
Generators of the group modulo torsion |
j |
276288773643091/41990400 |
j-invariant |
L |
3.9771300851738 |
L(r)(E,1)/r! |
Ω |
0.21752934917862 |
Real period |
R |
2.2853985566725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830bb2 32490bt2 |
Quadratic twists by: -3 -19 |