Atkin-Lehner |
2+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27830k |
Isogeny class |
Conductor |
27830 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-358246851380 = -1 · 22 · 5 · 112 · 236 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 11- -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-993,31128] |
[a1,a2,a3,a4,a6] |
Generators |
[1659:11324:27] |
Generators of the group modulo torsion |
j |
-893628963601/2960717780 |
j-invariant |
L |
5.0749066029931 |
L(r)(E,1)/r! |
Ω |
0.83903148130706 |
Real period |
R |
1.5121323561922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27830u2 |
Quadratic twists by: -11 |