Atkin-Lehner |
2+ 3+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115434a |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3.1709900141534E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-656559756,-6469459643608] |
[a1,a2,a3,a4,a6] |
Generators |
[30496224305456564701220431330220565549960761002153570627790462579:16924736141859576621186212775845592622322416163633506189006451592118:98141729911283898266929529905842010158516704976514872936097] |
Generators of the group modulo torsion |
j |
491641527088431551889/498077523290888 |
j-invariant |
L |
5.6855025545728 |
L(r)(E,1)/r! |
Ω |
0.029826851063287 |
Real period |
R |
95.308461200099 |
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 |
115434bb2 115434ba2 |
Quadratic twists by: -3 -11 |