Atkin-Lehner |
2- 3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29070bh |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
402648570000 = 24 · 38 · 54 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 -6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18158,-936723] |
[a1,a2,a3,a4,a6] |
j |
908192259751321/552330000 |
j-invariant |
L |
3.2903360877581 |
L(r)(E,1)/r! |
Ω |
0.41129201096984 |
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 |
9690f1 |
Quadratic twists by: -3 |