Atkin-Lehner |
2+ 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89304d |
Isogeny class |
Conductor |
89304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.8979520320452E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73543084,242761610644] |
[a1,a2,a3,a4,a6] |
Generators |
[62118475933343205923602:19329415144191272562375960:49504965479636566537] |
Generators of the group modulo torsion |
j |
3335264310828112/219721329 |
j-invariant |
L |
3.9702410697963 |
L(r)(E,1)/r! |
Ω |
0.1356753268835 |
Real period |
R |
29.262808218854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979201 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1464f2 |
Quadratic twists by: 61 |