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 |
Δ |
-46822313671875 = -1 · 33 · 58 · 74 · 432 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -6 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6708,-254009] |
[a1,a2,a3,a4,a6] |
Generators |
[462:4319:8] |
Generators of the group modulo torsion |
j |
79119341757/110986225 |
j-invariant |
L |
6.1712303510889 |
L(r)(E,1)/r! |
Ω |
0.33871464684145 |
Real period |
R |
4.5548889069965 |
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 |
67725d2 13545d2 |
Quadratic twists by: -3 5 |