Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
27552bc |
Isogeny class |
Conductor |
27552 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-32660361216 = -1 · 212 · 34 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-369,8991] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:108:1] |
Generators of the group modulo torsion |
j |
-1360251712/7973721 |
j-invariant |
L |
5.0780602684378 |
L(r)(E,1)/r! |
Ω |
1.0087494361679 |
Real period |
R |
1.2585038678506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27552q2 55104ck1 82656u2 |
Quadratic twists by: -4 8 -3 |