Atkin-Lehner |
2- 3- 7- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32718s |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
780370824996 = 22 · 38 · 72 · 192 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7217,231525] |
[a1,a2,a3,a4,a6] |
j |
41571681285293713/780370824996 |
j-invariant |
L |
7.1763863851555 |
L(r)(E,1)/r! |
Ω |
0.89704829814412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
98154bg2 |
Quadratic twists by: -3 |