Atkin-Lehner |
2+ 11- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
9614c |
Isogeny class |
Conductor |
9614 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-8.2625499693835E+22 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22652386,-43735420140] |
[a1,a2,a3,a4,a6] |
Generators |
[37936065:63540960:6859] |
Generators of the group modulo torsion |
j |
-1285480767159000221263452153/82625499693835222585472 |
j-invariant |
L |
3.2783417834116 |
L(r)(E,1)/r! |
Ω |
0.034473108477542 |
Real period |
R |
9.5098525436061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76912f2 86526q2 105754u2 |
Quadratic twists by: -4 -3 -11 |