Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360fq |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1098974822400 = 216 · 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,-6305,188097] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:504:1] |
Generators of the group modulo torsion |
j |
423026849956/16769025 |
j-invariant |
L |
7.1520548855848 |
L(r)(E,1)/r! |
Ω |
0.86378505600757 |
Real period |
R |
2.0699752903498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960131 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360dg2 21840q2 |
Quadratic twists by: -4 8 |