Atkin-Lehner |
2- 3+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27846x |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-60899202 = -1 · 2 · 39 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 2 13- 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-704,-7019] |
[a1,a2,a3,a4,a6] |
Generators |
[4824022:49477241:39304] |
Generators of the group modulo torsion |
j |
-1957816251/3094 |
j-invariant |
L |
9.5750471301515 |
L(r)(E,1)/r! |
Ω |
0.46342927114803 |
Real period |
R |
10.330645609018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27846c1 |
Quadratic twists by: -3 |