Atkin-Lehner |
2- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
8848d |
Isogeny class |
Conductor |
8848 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-140290490368 = -1 · 216 · 73 · 792 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1571,29986] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:224:1] |
Generators of the group modulo torsion |
j |
-104686895097/34250608 |
j-invariant |
L |
3.598301794014 |
L(r)(E,1)/r! |
Ω |
0.97696369918207 |
Real period |
R |
0.61385798282074 |
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 |
1106a1 35392p1 79632bb1 61936l1 |
Quadratic twists by: -4 8 -3 -7 |