Atkin-Lehner |
2- 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640db |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
20772864000000 = 217 · 32 · 56 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63680,-6202572] |
[a1,a2,a3,a4,a6] |
j |
6972359126281921/5071500000 |
j-invariant |
L |
3.6066037595718 |
L(r)(E,1)/r! |
Ω |
0.30055031330099 |
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 |
4830v2 115920dl2 |
Quadratic twists by: -4 -3 |