Atkin-Lehner |
2- 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
48048cn |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1822607474688 = -1 · 216 · 34 · 74 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2816,-29260] |
[a1,a2,a3,a4,a6] |
Generators |
[59:588:1] |
Generators of the group modulo torsion |
j |
602708730623/444972528 |
j-invariant |
L |
6.6388244538362 |
L(r)(E,1)/r! |
Ω |
0.46818642484994 |
Real period |
R |
1.772484234234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006w1 |
Quadratic twists by: -4 |