Atkin-Lehner |
3- 5+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69615g |
Isogeny class |
Conductor |
69615 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.9479062235216E+28 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-120159653,-10714067655294] |
[a1,a2,a3,a4,a6] |
j |
-263191692508335916938917641/67872513354206085205078125 |
j-invariant |
L |
1.1480362924354 |
L(r)(E,1)/r! |
Ω |
0.015944948587322 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23205f3 |
Quadratic twists by: -3 |