Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848cb |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-3197988864 = -1 · 212 · 38 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57,2745] |
[a1,a2,a3,a4,a6] |
Generators |
[17:80:1] |
Generators of the group modulo torsion |
j |
-5088448/780759 |
j-invariant |
L |
5.3169067823954 |
L(r)(E,1)/r! |
Ω |
1.1597267949113 |
Real period |
R |
2.2923100534218 |
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 |
22848cj1 11424j1 68544ew1 |
Quadratic twists by: -4 8 -3 |