Atkin-Lehner |
2+ 3- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
7638c |
Isogeny class |
Conductor |
7638 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
412452 = 22 · 34 · 19 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21,-20] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:3:1] |
Generators of the group modulo torsion |
j |
955671625/412452 |
j-invariant |
L |
3.8648746145821 |
L(r)(E,1)/r! |
Ω |
2.3327179793448 |
Real period |
R |
0.82840588721052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61104p1 22914j1 |
Quadratic twists by: -4 -3 |