Atkin-Lehner |
2- 3+ 7- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29274bb |
Isogeny class |
Conductor |
29274 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
Δ |
12399045412873728 = 29 · 3 · 710 · 17 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-124908,16072845] |
[a1,a2,a3,a4,a6] |
Generators |
[93:2249:1] |
Generators of the group modulo torsion |
j |
215523530773991826625/12399045412873728 |
j-invariant |
L |
8.1973015281415 |
L(r)(E,1)/r! |
Ω |
0.39422043227772 |
Real period |
R |
0.462082229296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87822s2 |
Quadratic twists by: -3 |