Atkin-Lehner |
2+ 3- 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19470j |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
1173099322727481600 = 28 · 324 · 52 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14171774,20533266416] |
[a1,a2,a3,a4,a6] |
j |
314772165543511714548281689/1173099322727481600 |
j-invariant |
L |
2.5636970136004 |
L(r)(E,1)/r! |
Ω |
0.24034659502504 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
58410br1 97350bo1 |
Quadratic twists by: -3 5 |