Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
84270bg |
Isogeny class |
Conductor |
84270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
117790502427568890 = 2 · 312 · 5 · 536 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-192475,-28075105] |
[a1,a2,a3,a4,a6] |
Generators |
[-6532961836310:59590960257951:26730899000] |
Generators of the group modulo torsion |
j |
35578826569/5314410 |
j-invariant |
L |
8.5346735675019 |
L(r)(E,1)/r! |
Ω |
0.23021275160812 |
Real period |
R |
18.536491806914 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993438 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30a4 |
Quadratic twists by: 53 |