Atkin-Lehner |
2- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3136y |
Isogeny class |
Conductor |
3136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3022415986688 = 219 · 78 |
Discriminant |
Eigenvalues |
2- 2 0 7- 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32993,2316161] |
[a1,a2,a3,a4,a6] |
Generators |
[40:1029:1] |
Generators of the group modulo torsion |
j |
128787625/98 |
j-invariant |
L |
4.4588726582087 |
L(r)(E,1)/r! |
Ω |
0.79430386774744 |
Real period |
R |
2.8067801500537 |
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 |
3136k2 784j2 28224fc2 78400il2 |
Quadratic twists by: -4 8 -3 5 |