Atkin-Lehner |
2- 3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890ei |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-123797444544900000 = -1 · 25 · 36 · 55 · 74 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 -5 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,44752,-16542669] |
[a1,a2,a3,a4,a6] |
Generators |
[2134:29205:8] |
Generators of the group modulo torsion |
j |
5663050947239/70728100000 |
j-invariant |
L |
9.9244822103859 |
L(r)(E,1)/r! |
Ω |
0.16224895737651 |
Real period |
R |
3.0584116935592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14210e1 127890fw1 |
Quadratic twists by: -3 -7 |