Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24255bx |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-7.6309929711829E+23 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9608297,43566672804] |
[a1,a2,a3,a4,a6] |
Generators |
[11468:-1206357:1] |
Generators of the group modulo torsion |
j |
-1143792273008057401/8897444448004035 |
j-invariant |
L |
3.2619882123377 |
L(r)(E,1)/r! |
Ω |
0.077044080835906 |
Real period |
R |
0.88206760363301 |
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 |
8085f4 121275ek3 3465l4 |
Quadratic twists by: -3 5 -7 |