Atkin-Lehner |
3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
42135d |
Isogeny class |
Conductor |
42135 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1.566098735953E+24 |
Discriminant |
Eigenvalues |
0 3+ 5- 2 0 -4 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,12271585,-57895806619] |
[a1,a2,a3,a4,a6] |
j |
9220838993985536/70658419921875 |
j-invariant |
L |
0.75659731368989 |
L(r)(E,1)/r! |
Ω |
0.042033184091237 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126405j2 795c2 |
Quadratic twists by: -3 53 |