Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890bg |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-93231810 = -1 · 2 · 38 · 5 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 1 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-135,-729] |
[a1,a2,a3,a4,a6] |
Generators |
[27:108:1] |
Generators of the group modulo torsion |
j |
-7649089/2610 |
j-invariant |
L |
5.154619817867 |
L(r)(E,1)/r! |
Ω |
0.68819375814761 |
Real period |
R |
1.8725176700714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998595628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630dj1 127890ca1 |
Quadratic twists by: -3 -7 |