Atkin-Lehner |
2- 3+ 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
72048p |
Isogeny class |
Conductor |
72048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
12320208 = 24 · 33 · 192 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -6 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-717,7632] |
[a1,a2,a3,a4,a6] |
j |
2551330766848/770013 |
j-invariant |
L |
1.1021532452518 |
L(r)(E,1)/r! |
Ω |
2.2043065194027 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18012f1 |
Quadratic twists by: -4 |