Atkin-Lehner |
3- 11- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48807o |
Isogeny class |
Conductor |
48807 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1031828787 = 38 · 11 · 17 · 292 |
Discriminant |
Eigenvalues |
-1 3- 0 -4 11- 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8960,328664] |
[a1,a2,a3,a4,a6] |
Generators |
[33:244:1] |
Generators of the group modulo torsion |
j |
109112566461625/1415403 |
j-invariant |
L |
2.5938854755434 |
L(r)(E,1)/r! |
Ω |
1.4183186491672 |
Real period |
R |
0.91442267823551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16269f2 |
Quadratic twists by: -3 |