Atkin-Lehner |
2- 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
78144bx |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-759979782144 = -1 · 212 · 32 · 11 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5417,160905] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:555:1] |
Generators of the group modulo torsion |
j |
-4292600195008/185541939 |
j-invariant |
L |
6.9385477052305 |
L(r)(E,1)/r! |
Ω |
0.89054460737301 |
Real period |
R |
1.9478383365451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980573 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144dd2 39072p1 |
Quadratic twists by: -4 8 |