Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360cm |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
128 |
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 |
[74:-195:1] |
Generators of the group modulo torsion |
j |
35171488759744/16769025 |
j-invariant |
L |
7.075327419717 |
L(r)(E,1)/r! |
Ω |
1.0819346018314 |
Real period |
R |
0.81743935791946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013938 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360c2 43680j1 |
Quadratic twists by: -4 8 |