Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380bj |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
2171512257516000000 = 28 · 33 · 56 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-623180,175369428] |
[a1,a2,a3,a4,a6] |
Generators |
[691:-8670:1] |
Generators of the group modulo torsion |
j |
4331431355344/351421875 |
j-invariant |
L |
8.6674932718588 |
L(r)(E,1)/r! |
Ω |
0.25431577830214 |
Real period |
R |
0.94671161824999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140a2 |
Quadratic twists by: 17 |