Atkin-Lehner |
2+ 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
78144i |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
165040128 = 212 · 32 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11+ 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-153,441] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:8:1] [-8:33:1] |
Generators of the group modulo torsion |
j |
97336000/40293 |
j-invariant |
L |
9.4589411510817 |
L(r)(E,1)/r! |
Ω |
1.6429183169653 |
Real period |
R |
2.8787009839371 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999253 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144bo2 39072f1 |
Quadratic twists by: -4 8 |