Atkin-Lehner |
2+ 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048c |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.7722244877738E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 4 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16828609,-26558438207] |
[a1,a2,a3,a4,a6] |
Generators |
[3695713472695742877:-585662227621171519252:143211635177759] |
Generators of the group modulo torsion |
j |
2010612953066556130993/676049990758443 |
j-invariant |
L |
4.6637785441293 |
L(r)(E,1)/r! |
Ω |
0.0745411795885 |
Real period |
R |
31.283235513142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999810033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90048cb4 1407c3 |
Quadratic twists by: -4 8 |