Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13050ba |
Isogeny class |
Conductor |
13050 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
5172938437500000 = 25 · 39 · 510 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-105005,-12605003] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:770:1] |
Generators of the group modulo torsion |
j |
416330716563/16820000 |
j-invariant |
L |
7.3539519522869 |
L(r)(E,1)/r! |
Ω |
0.26587538688221 |
Real period |
R |
1.3829696758551 |
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 |
104400da2 13050a2 2610a2 |
Quadratic twists by: -4 -3 5 |