Atkin-Lehner |
2- 3- 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
72048w |
Isogeny class |
Conductor |
72048 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-7160812733988864 = -1 · 220 · 36 · 19 · 793 |
Discriminant |
Eigenvalues |
2- 3- -1 0 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,43824,2041236] |
[a1,a2,a3,a4,a6] |
j |
2272426781000111/1748245296384 |
j-invariant |
L |
3.224795959502 |
L(r)(E,1)/r! |
Ω |
0.26873299767412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9006e1 |
Quadratic twists by: -4 |