Atkin-Lehner |
2+ 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
36946a |
Isogeny class |
Conductor |
36946 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-40101455593472 = -1 · 218 · 74 · 133 · 29 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 0 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6344,-233978] |
[a1,a2,a3,a4,a6] |
Generators |
[137:1723:1] |
Generators of the group modulo torsion |
j |
11763037430375/16701980672 |
j-invariant |
L |
5.0578287473485 |
L(r)(E,1)/r! |
Ω |
0.34286823412605 |
Real period |
R |
0.8195290726771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36946f2 |
Quadratic twists by: -7 |