Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400en |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.01056896E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7194675,-7412116750] |
[a1,a2,a3,a4,a6] |
Generators |
[-1495:1600:1] |
Generators of the group modulo torsion |
j |
882774443450089/2166000000 |
j-invariant |
L |
7.0400063374532 |
L(r)(E,1)/r! |
Ω |
0.092195727344936 |
Real period |
R |
2.3862298655991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988316 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8550k2 22800bu2 13680bj2 |
Quadratic twists by: -4 -3 5 |