Atkin-Lehner |
2- 3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29070v |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-117471683021760 = -1 · 26 · 33 · 5 · 172 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2168,523451] |
[a1,a2,a3,a4,a6] |
Generators |
[43:691:1] |
Generators of the group modulo torsion |
j |
-41720544489987/4350803074880 |
j-invariant |
L |
8.3371506202536 |
L(r)(E,1)/r! |
Ω |
0.48491474478211 |
Real period |
R |
4.2982558841347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
29070e4 |
Quadratic twists by: -3 |