Atkin-Lehner |
2+ 3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090bg |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
8.4902764606196E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39971160,97267499500] |
[a1,a2,a3,a4,a6] |
Generators |
[-3670:442880:1] |
Generators of the group modulo torsion |
j |
9688051664090017787237761/1164646976765372100 |
j-invariant |
L |
4.6898420290974 |
L(r)(E,1)/r! |
Ω |
0.15226781668253 |
Real period |
R |
0.96249861851184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001423 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30030bh6 |
Quadratic twists by: -3 |