Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520eb |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
5.425795694592E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-122727387,-523299579766] |
[a1,a2,a3,a4,a6] |
Generators |
[-6377:2250:1] |
Generators of the group modulo torsion |
j |
68463752473882049153689/1817088000000000 |
j-invariant |
L |
5.229984279038 |
L(r)(E,1)/r! |
Ω |
0.045359146530465 |
Real period |
R |
1.6014117569505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190bz5 21840be5 |
Quadratic twists by: -4 -3 |