Atkin-Lehner |
2+ 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
59040bd |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-25097195520 = -1 · 212 · 36 · 5 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 2 4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-252,7776] |
[a1,a2,a3,a4,a6] |
j |
-592704/8405 |
j-invariant |
L |
4.0429786432735 |
L(r)(E,1)/r! |
Ω |
1.0107446606572 |
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 |
59040cb2 118080bq1 6560h2 |
Quadratic twists by: -4 8 -3 |