Atkin-Lehner |
3+ 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
74589h |
Isogeny class |
Conductor |
74589 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4.5196293821361E+22 |
Discriminant |
Eigenvalues |
-1 3+ -2 4 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8906784,-244150584] |
[a1,a2,a3,a4,a6] |
Generators |
[5445802602830521701630178318:386913699286912222769612667797:838460490049662266194408] |
Generators of the group modulo torsion |
j |
527860858731041233/305306328935961 |
j-invariant |
L |
3.7413137361233 |
L(r)(E,1)/r! |
Ω |
0.095699586490648 |
Real period |
R |
39.094356352414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997539 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3243a4 |
Quadratic twists by: -23 |