Atkin-Lehner |
2+ 3- 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19470p |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-1776682795008000 = -1 · 221 · 3 · 53 · 11 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-974098,-370129372] |
[a1,a2,a3,a4,a6] |
j |
-102218858364651191769241/1776682795008000 |
j-invariant |
L |
2.0515507311662 |
L(r)(E,1)/r! |
Ω |
0.075983360413563 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58410ba2 97350bs2 |
Quadratic twists by: -3 5 |