Atkin-Lehner |
2+ 3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30030r |
Isogeny class |
Conductor |
30030 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
4.0070041032953E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-105752574,-418583571128] |
[a1,a2,a3,a4,a6] |
Generators |
[-5950:5841:1] |
Generators of the group modulo torsion |
j |
130796627670002750950880364889/4007004103295286093000 |
j-invariant |
L |
4.5643267240727 |
L(r)(E,1)/r! |
Ω |
0.047079041984404 |
Real period |
R |
1.3465317910299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090dv8 |
Quadratic twists by: -3 |