Atkin-Lehner |
2+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
128744c |
Isogeny class |
Conductor |
128744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2653996792832 = 210 · 7 · 117 · 19 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3776531,2824799934] |
[a1,a2,a3,a4,a6] |
Generators |
[66594:2491390:27] |
Generators of the group modulo torsion |
j |
3283573987468548/1463 |
j-invariant |
L |
3.5387991178753 |
L(r)(E,1)/r! |
Ω |
0.49019382567632 |
Real period |
R |
7.2191834355315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999190489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11704e3 |
Quadratic twists by: -11 |