Atkin-Lehner |
5- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
67915q |
Isogeny class |
Conductor |
67915 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-35234222412109375 = -1 · 516 · 173 · 47 |
Discriminant |
Eigenvalues |
-1 -2 5- -2 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-134085,-20956328] |
[a1,a2,a3,a4,a6] |
Generators |
[584:9708:1] |
Generators of the group modulo torsion |
j |
-54264741614493857/7171630859375 |
j-invariant |
L |
1.8392714537049 |
L(r)(E,1)/r! |
Ω |
0.12383323755249 |
Real period |
R |
1.8566011549645 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934831 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67915e2 |
Quadratic twists by: 17 |