Atkin-Lehner |
2- 3- 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
104310bv |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
54179917875000 = 23 · 39 · 56 · 192 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-632003,193544331] |
[a1,a2,a3,a4,a6] |
Generators |
[473:-750:1] [501:1322:1] |
Generators of the group modulo torsion |
j |
38295959835639531241/74320875000 |
j-invariant |
L |
15.757377689279 |
L(r)(E,1)/r! |
Ω |
0.54059948886335 |
Real period |
R |
2.4289975007026 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000836 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34770f2 |
Quadratic twists by: -3 |