Atkin-Lehner |
3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111573bl |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-9722442244826619 = -1 · 36 · 77 · 113 · 233 |
Discriminant |
Eigenvalues |
0 3- 3 7- 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,53214,-426092] |
[a1,a2,a3,a4,a6] |
Generators |
[238:-5072:1] |
Generators of the group modulo torsion |
j |
194305753088/113359939 |
j-invariant |
L |
7.2750239228348 |
L(r)(E,1)/r! |
Ω |
0.24111339590439 |
Real period |
R |
0.8381284573055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999659293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12397b2 15939j2 |
Quadratic twists by: -3 -7 |