Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17850br |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-9639000000 = -1 · 26 · 34 · 56 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-538,6692] |
[a1,a2,a3,a4,a6] |
Generators |
[2:74:1] |
Generators of the group modulo torsion |
j |
-1102302937/616896 |
j-invariant |
L |
8.5038582640961 |
L(r)(E,1)/r! |
Ω |
1.2003058317456 |
Real period |
R |
0.29519762238876 |
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 |
53550bc1 714d1 124950fs1 |
Quadratic twists by: -3 5 -7 |