Atkin-Lehner |
2- 3- 5+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
29670v |
Isogeny class |
Conductor |
29670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
721989780 = 22 · 3 · 5 · 234 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13771,620861] |
[a1,a2,a3,a4,a6] |
Generators |
[1258:43807:1] |
Generators of the group modulo torsion |
j |
288816578027623729/721989780 |
j-invariant |
L |
10.093589851708 |
L(r)(E,1)/r! |
Ω |
1.3893059687989 |
Real period |
R |
3.6326014853425 |
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 |
89010t4 |
Quadratic twists by: -3 |