Atkin-Lehner |
3- 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
32775bb |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
71678925 = 38 · 52 · 19 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 -6 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-123,-376] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:-14:1] |
Generators of the group modulo torsion |
j |
8298987520/2867157 |
j-invariant |
L |
3.6905237815804 |
L(r)(E,1)/r! |
Ω |
1.4730053721315 |
Real period |
R |
0.31317976256259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325bs1 32775p1 |
Quadratic twists by: -3 5 |