Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800mi |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3571283520000000000 = 215 · 313 · 510 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91854000300,-10715075262502000] |
[a1,a2,a3,a4,a6] |
Generators |
[-468212571677850497788932818917884438954006879260227733:890461069895728867351535125484085808043139153857:2675806240189897222841525326325344942133746305887] |
Generators of the group modulo torsion |
j |
229625675762164624948320008/9568125 |
j-invariant |
L |
5.3933679180675 |
L(r)(E,1)/r! |
Ω |
0.0086721151517392 |
Real period |
R |
77.740087511391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999844753 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800nv4 50400df4 33600eo4 20160fi3 |
Quadratic twists by: -4 8 -3 5 |