Atkin-Lehner |
2+ 3+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290h |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-3.2181511790595E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1389696,589003128] |
[a1,a2,a3,a4,a6] |
Generators |
[97286:-10828643:8] |
Generators of the group modulo torsion |
j |
10993075092749722097637/11919078440961125000 |
j-invariant |
L |
4.7258401080575 |
L(r)(E,1)/r! |
Ω |
0.11386879078707 |
Real period |
R |
5.1878131788521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
52290bq4 |
Quadratic twists by: -3 |