Atkin-Lehner |
2- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52142t |
Isogeny class |
Conductor |
52142 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1364160 |
Modular degree for the optimal curve |
Δ |
28782177616124096 = 26 · 299 · 31 |
Discriminant |
Eigenvalues |
2- -2 3 -4 -6 0 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-648849,-201058583] |
[a1,a2,a3,a4,a6] |
Generators |
[3434:-196829:1] [-456:451:1] |
Generators of the group modulo torsion |
j |
2082440933/1984 |
j-invariant |
L |
10.577759508929 |
L(r)(E,1)/r! |
Ω |
0.16822420405718 |
Real period |
R |
5.239911604978 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52142g1 |
Quadratic twists by: 29 |