Atkin-Lehner |
2- 3+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29640p |
Isogeny class |
Conductor |
29640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19516872960000 = 211 · 32 · 54 · 13 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8000,-172500] |
[a1,a2,a3,a4,a6] |
j |
27651456144002/9529723125 |
j-invariant |
L |
2.0759439267425 |
L(r)(E,1)/r! |
Ω |
0.51898598168581 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59280x3 88920g3 |
Quadratic twists by: -4 -3 |