Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120dr |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
386306305228800 = 216 · 311 · 52 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-198363,33991562] |
[a1,a2,a3,a4,a6] |
Generators |
[319:-1782:1] |
Generators of the group modulo torsion |
j |
217190179331/97200 |
j-invariant |
L |
6.9648304390705 |
L(r)(E,1)/r! |
Ω |
0.52636766495976 |
Real period |
R |
0.82699210405792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928504 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890bl1 29040cj1 87120dt1 |
Quadratic twists by: -4 -3 -11 |