Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360c |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
68685926400 = 212 · 34 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10921,-435479] |
[a1,a2,a3,a4,a6] |
Generators |
[191:2100:1] |
Generators of the group modulo torsion |
j |
35171488759744/16769025 |
j-invariant |
L |
5.7063784363511 |
L(r)(E,1)/r! |
Ω |
0.46702815881816 |
Real period |
R |
3.0546222566816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000466 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360cm2 43680cg1 |
Quadratic twists by: -4 8 |