Atkin-Lehner |
3- 5- 7+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
42735m |
Isogeny class |
Conductor |
42735 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.4058032665948E+24 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-167635810,-833471420803] |
[a1,a2,a3,a4,a6] |
j |
520983661970098876001387991841/1405803266594825533194375 |
j-invariant |
L |
2.0142785418681 |
L(r)(E,1)/r! |
Ω |
0.041964136287248 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128205p6 |
Quadratic twists by: -3 |