Atkin-Lehner |
2+ 7+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110768d |
Isogeny class |
Conductor |
110768 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
3.7747036527897E+24 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ 4 -2 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129331448,-558300829984] |
[a1,a2,a3,a4,a6] |
j |
233634072233053617034454500/3686234035927427404007 |
j-invariant |
L |
4.0330286317676 |
L(r)(E,1)/r! |
Ω |
0.044811431870636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55384c2 |
Quadratic twists by: -4 |