Atkin-Lehner |
2- 3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
128100d |
Isogeny class |
Conductor |
128100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.6699556543503E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93133908,340345380312] |
[a1,a2,a3,a4,a6] |
Generators |
[13277:1201700:1] |
Generators of the group modulo torsion |
j |
22335064237626546184144/417488913587568375 |
j-invariant |
L |
4.4718994100628 |
L(r)(E,1)/r! |
Ω |
0.084197352749916 |
Real period |
R |
4.4260095261025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999685546 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25620i2 |
Quadratic twists by: 5 |