Atkin-Lehner |
2- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
105056p |
Isogeny class |
Conductor |
105056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
197755733504 = 29 · 78 · 67 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34904,2498236] |
[a1,a2,a3,a4,a6] |
Generators |
[79:490:1] [111:62:1] |
Generators of the group modulo torsion |
j |
78073482824/3283 |
j-invariant |
L |
6.307270027769 |
L(r)(E,1)/r! |
Ω |
0.94417053088204 |
Real period |
R |
6.6802233520373 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985181 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105056c2 15008l2 |
Quadratic twists by: -4 -7 |