Atkin-Lehner |
2- 3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
28116i |
Isogeny class |
Conductor |
28116 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1168796065536 = 28 · 312 · 112 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2484399,-1507232090] |
[a1,a2,a3,a4,a6] |
Generators |
[91831014955915721601830706438765370:5092409372869715678697101986876870845:23994286169994824010146595519848] |
Generators of the group modulo torsion |
j |
9086994303325258192/6262839 |
j-invariant |
L |
6.6782048871716 |
L(r)(E,1)/r! |
Ω |
0.12025252888302 |
Real period |
R |
55.534839468268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112464v2 9372d2 |
Quadratic twists by: -4 -3 |