Atkin-Lehner |
2+ 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6270h |
Isogeny class |
Conductor |
6270 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
4342288500000 = 25 · 37 · 56 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4105679,3201688802] |
[a1,a2,a3,a4,a6] |
Generators |
[576:31774:1] |
Generators of the group modulo torsion |
j |
7653825103704685955596009/4342288500000 |
j-invariant |
L |
3.1705106831024 |
L(r)(E,1)/r! |
Ω |
0.47598039406594 |
Real period |
R |
0.95157301273906 |
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 |
50160be2 18810bk2 31350bf2 68970ck2 |
Quadratic twists by: -4 -3 5 -11 |