Atkin-Lehner |
2+ 3- 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090cd |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
1728 |
Product of Tamagawa factors cp |
Δ |
-3.5354967619312E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,37986291,-7986349035] |
[a1,a2,a3,a4,a6] |
j |
8315279469612171276463151/4849789796887785750000 |
j-invariant |
L |
2.2395813761907 |
L(r)(E,1)/r! |
Ω |
0.046657944312075 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
30030bt3 |
Quadratic twists by: -3 |