Atkin-Lehner |
2- 3- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
44520x |
Isogeny class |
Conductor |
44520 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-13362056144640000 = -1 · 211 · 33 · 54 · 72 · 534 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,33040,-5047392] |
[a1,a2,a3,a4,a6] |
j |
1947604329004318/6524441476875 |
j-invariant |
L |
4.8713870144651 |
L(r)(E,1)/r! |
Ω |
0.20297445893559 |
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 |
89040h3 |
Quadratic twists by: -4 |