Atkin-Lehner |
2- 3- 5+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
126270bk |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2615233118422500 = 22 · 312 · 54 · 232 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-93848,-10765353] |
[a1,a2,a3,a4,a6] |
Generators |
[3736677:36236927:9261] |
Generators of the group modulo torsion |
j |
125391157302920761/3587425402500 |
j-invariant |
L |
11.515947050928 |
L(r)(E,1)/r! |
Ω |
0.2732455188976 |
Real period |
R |
10.536263461222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999514708 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42090c2 |
Quadratic twists by: -3 |