Atkin-Lehner |
3+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
67725b |
Isogeny class |
Conductor |
67725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
555556640625 = 33 · 510 · 72 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -6 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2667,-38384] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:118:1] |
Generators of the group modulo torsion |
j |
4973940243/1316875 |
j-invariant |
L |
6.1712303510889 |
L(r)(E,1)/r! |
Ω |
0.6774292936829 |
Real period |
R |
2.2774444534983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001535 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67725d1 13545d1 |
Quadratic twists by: -3 5 |