Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200ds |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.813737744E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14612008,6512486512] |
[a1,a2,a3,a4,a6] |
Generators |
[-100479044:-14589432000:103823] |
Generators of the group modulo torsion |
j |
5391051390768345121/2833965225000000 |
j-invariant |
L |
6.757408292448 |
L(r)(E,1)/r! |
Ω |
0.088889897966898 |
Real period |
R |
9.5024975353906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000242 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13650z3 21840cg3 |
Quadratic twists by: -4 5 |