Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120m |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1785325320345600 = 211 · 39 · 52 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-133947,18759114] |
[a1,a2,a3,a4,a6] |
Generators |
[-407:2420:1] |
Generators of the group modulo torsion |
j |
3721734/25 |
j-invariant |
L |
7.6416270321113 |
L(r)(E,1)/r! |
Ω |
0.47306519714738 |
Real period |
R |
2.0191791425174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987757 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43560bm2 87120e2 720b2 |
Quadratic twists by: -4 -3 -11 |