Atkin-Lehner |
3- 5- 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
128205bg |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
61601271545974545 = 37 · 5 · 712 · 11 · 37 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-315099,67103248] |
[a1,a2,a3,a4,a6] |
Generators |
[6382:140575:8] |
Generators of the group modulo torsion |
j |
4746112559346675889/84501058362105 |
j-invariant |
L |
7.773361045139 |
L(r)(E,1)/r! |
Ω |
0.35067601630807 |
Real period |
R |
3.6944646855967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000122371 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42735c3 |
Quadratic twists by: -3 |