Atkin-Lehner |
2- 3+ 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080bq |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
180809345633157120 = 216 · 3 · 5 · 116 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-490720,130884352] |
[a1,a2,a3,a4,a6] |
Generators |
[357:1034:1] |
Generators of the group modulo torsion |
j |
3190552719143309281/44142906648720 |
j-invariant |
L |
6.7067632451217 |
L(r)(E,1)/r! |
Ω |
0.32116973074317 |
Real period |
R |
1.1601278756341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016567 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15510q3 |
Quadratic twists by: -4 |