Atkin-Lehner |
2- 3- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29070bp |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-476089790141340 = -1 · 22 · 37 · 5 · 174 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16682,-1333659] |
[a1,a2,a3,a4,a6] |
Generators |
[189:1401:1] |
Generators of the group modulo torsion |
j |
-704232603557209/653072414460 |
j-invariant |
L |
8.5136995307763 |
L(r)(E,1)/r! |
Ω |
0.20231613742765 |
Real period |
R |
5.2601461004444 |
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 |
9690b4 |
Quadratic twists by: -3 |