Atkin-Lehner |
3- 5- 7+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42735l |
Isogeny class |
Conductor |
42735 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
28480 |
Modular degree for the optimal curve |
Δ |
-17307675 = -1 · 35 · 52 · 7 · 11 · 37 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ 11+ -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1020,12206] |
[a1,a2,a3,a4,a6] |
Generators |
[15:22:1] |
Generators of the group modulo torsion |
j |
-117476212658176/17307675 |
j-invariant |
L |
3.227061163517 |
L(r)(E,1)/r! |
Ω |
2.1148449999566 |
Real period |
R |
0.15259090683189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999828 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128205o1 |
Quadratic twists by: -3 |