Atkin-Lehner |
5- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
67915s |
Isogeny class |
Conductor |
67915 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
42984 |
Modular degree for the optimal curve |
Δ |
-150024235 = -1 · 5 · 172 · 473 |
Discriminant |
Eigenvalues |
-2 -2 5- 2 -2 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-980,-12156] |
[a1,a2,a3,a4,a6] |
Generators |
[43:164:1] |
Generators of the group modulo torsion |
j |
-360534790144/519115 |
j-invariant |
L |
1.9846842228148 |
L(r)(E,1)/r! |
Ω |
0.42656835255439 |
Real period |
R |
1.5508919107296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003856 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67915j1 |
Quadratic twists by: 17 |