Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890fd |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-4719860381250 = -1 · 2 · 312 · 55 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -3 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,337,-104583] |
[a1,a2,a3,a4,a6] |
Generators |
[24286:1325811:8] |
Generators of the group modulo torsion |
j |
118822151/132131250 |
j-invariant |
L |
9.5842071841542 |
L(r)(E,1)/r! |
Ω |
0.35937319042117 |
Real period |
R |
6.667308090721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006659 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630q1 127890fo1 |
Quadratic twists by: -3 -7 |