Atkin-Lehner |
3- 11+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
33231f |
Isogeny class |
Conductor |
33231 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
100390851 = 32 · 11 · 192 · 532 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11+ 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-507,-4410] |
[a1,a2,a3,a4,a6] |
j |
14414551240753/100390851 |
j-invariant |
L |
2.0130538124093 |
L(r)(E,1)/r! |
Ω |
1.0065269062029 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99693g2 |
Quadratic twists by: -3 |