Atkin-Lehner |
3- 5+ 7+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
42735g |
Isogeny class |
Conductor |
42735 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
147928698225 = 36 · 52 · 72 · 112 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1406,8211] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:172:1] |
Generators of the group modulo torsion |
j |
307396543251169/147928698225 |
j-invariant |
L |
4.0591307940386 |
L(r)(E,1)/r! |
Ω |
0.9168573934569 |
Real period |
R |
0.73787025532463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
128205bd2 |
Quadratic twists by: -3 |