Atkin-Lehner |
2+ 3- 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
109224d |
Isogeny class |
Conductor |
109224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-78048513487872 = -1 · 210 · 36 · 37 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2061,-423522] |
[a1,a2,a3,a4,a6] |
Generators |
[357825286:-7817492080:753571] |
Generators of the group modulo torsion |
j |
1296970812/104553157 |
j-invariant |
L |
8.8802490267401 |
L(r)(E,1)/r! |
Ω |
0.2905837650722 |
Real period |
R |
15.280015698067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12136c4 |
Quadratic twists by: -3 |