Atkin-Lehner |
3+ 5+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
42735b |
Isogeny class |
Conductor |
42735 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1626240 |
Modular degree for the optimal curve |
Δ |
-1075595062144246875 = -1 · 37 · 55 · 74 · 116 · 37 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 11+ -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-7653196,8151855402] |
[a1,a2,a3,a4,a6] |
Generators |
[1530:4658:1] |
Generators of the group modulo torsion |
j |
-49573807543838347483009024/1075595062144246875 |
j-invariant |
L |
1.9587121837222 |
L(r)(E,1)/r! |
Ω |
0.25492211852683 |
Real period |
R |
0.96044636840764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999756 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128205bk1 |
Quadratic twists by: -3 |