Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120ct |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
215512521523200 = 214 · 33 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29403,1807498] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:1936:1] |
Generators of the group modulo torsion |
j |
14348907/1100 |
j-invariant |
L |
6.4351840276238 |
L(r)(E,1)/r! |
Ω |
0.54902743148751 |
Real period |
R |
0.73256631404413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983233 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890bd1 87120dg1 7920v1 |
Quadratic twists by: -4 -3 -11 |