Atkin-Lehner |
5+ 7- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
128975f |
Isogeny class |
Conductor |
128975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
68276140625 = 56 · 72 · 113 · 67 |
Discriminant |
Eigenvalues |
-1 2 5+ 7- 11+ -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11890263,-15785982844] |
[a1,a2,a3,a4,a6] |
Generators |
[16963076407574657639809072684252852510923534:4443934729085381181260334331881218329223542967:245598383388373930904965084208318427144] |
Generators of the group modulo torsion |
j |
11898112499525546547625/4369673 |
j-invariant |
L |
5.6994753626264 |
L(r)(E,1)/r! |
Ω |
0.081302086125421 |
Real period |
R |
70.102448302628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000128298 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5159b2 |
Quadratic twists by: 5 |