Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968es |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
658634282402697216 = 212 · 37 · 73 · 118 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11- -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5877696,-5484635728] |
[a1,a2,a3,a4,a6] |
j |
35084566528/1029 |
j-invariant |
L |
1.7453027377705 |
L(r)(E,1)/r! |
Ω |
0.096961324395016 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7623m2 40656bo2 121968gd2 |
Quadratic twists by: -4 -3 -11 |