Atkin-Lehner |
2- 3- 7+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84546bh |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.2669976314142E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29621624,-57662191389] |
[a1,a2,a3,a4,a6] |
Generators |
[-76647122475:-750371358711:20796875] |
Generators of the group modulo torsion |
j |
3942963573445632419353657/310973611990977176472 |
j-invariant |
L |
11.607088597582 |
L(r)(E,1)/r! |
Ω |
0.065037451326897 |
Real period |
R |
14.872313775209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985354 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28182d3 |
Quadratic twists by: -3 |