Atkin-Lehner |
3+ 7- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
19929c |
Isogeny class |
Conductor |
19929 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1750082260145405277 = -1 · 3 · 73 · 1312 · 73 |
Discriminant |
Eigenvalues |
1 3+ 2 7- -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,300066,-6838923] |
[a1,a2,a3,a4,a6] |
j |
2987939624220044765207/1750082260145405277 |
j-invariant |
L |
0.93607614482914 |
L(r)(E,1)/r! |
Ω |
0.15601269080486 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59787g3 |
Quadratic twists by: -3 |