Atkin-Lehner |
2- 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
78144by |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-23896740429213696 = -1 · 212 · 318 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ -6 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,54071,-5665751] |
[a1,a2,a3,a4,a6] |
Generators |
[33380:819957:64] |
Generators of the group modulo torsion |
j |
4268241036312128/5834165143851 |
j-invariant |
L |
3.0117254601151 |
L(r)(E,1)/r! |
Ω |
0.2017709514576 |
Real period |
R |
7.4632285718891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144de2 39072o1 |
Quadratic twists by: -4 8 |