Atkin-Lehner |
2- 3+ 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050bq |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
349487156250 = 2 · 36 · 56 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5637588,-5154494469] |
[a1,a2,a3,a4,a6] |
Generators |
[14660346907954850257089668916:260170845913336962472195251135:5064801784462874138660416] |
Generators of the group modulo torsion |
j |
1268188156752269618809/22367178 |
j-invariant |
L |
9.0690477957249 |
L(r)(E,1)/r! |
Ω |
0.097977469991576 |
Real period |
R |
46.281292015434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961384 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4002e2 |
Quadratic twists by: 5 |