Atkin-Lehner |
2- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
8848d |
Isogeny class |
Conductor |
8848 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
152277336064 = 214 · 76 · 79 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26851,1693410] |
[a1,a2,a3,a4,a6] |
Generators |
[87:126:1] |
Generators of the group modulo torsion |
j |
522691163272377/37177084 |
j-invariant |
L |
3.598301794014 |
L(r)(E,1)/r! |
Ω |
0.97696369918207 |
Real period |
R |
1.2277159656415 |
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 |
1106a2 35392p2 79632bb2 61936l2 |
Quadratic twists by: -4 8 -3 -7 |