Atkin-Lehner |
2+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
8288c |
Isogeny class |
Conductor |
8288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-613312 = -1 · 26 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ 0 -2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22,48] |
[a1,a2,a3,a4,a6] |
Generators |
[2:4:1] |
Generators of the group modulo torsion |
j |
-19248832/9583 |
j-invariant |
L |
3.2551378383425 |
L(r)(E,1)/r! |
Ω |
2.6956150107427 |
Real period |
R |
1.2075677815155 |
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 |
8288e1 16576j1 74592bd1 58016e1 |
Quadratic twists by: -4 8 -3 -7 |