Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360bj |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
9.3744955442332E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1168545,139637025] |
[a1,a2,a3,a4,a6] |
Generators |
[2425:107520:1] |
Generators of the group modulo torsion |
j |
673163386034885929/357608625192000 |
j-invariant |
L |
7.3760034521164 |
L(r)(E,1)/r! |
Ω |
0.16666014625166 |
Real period |
R |
2.4587640088778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360gu3 2730p3 |
Quadratic twists by: -4 8 |