Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
127890cz |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-261157838445000 = -1 · 23 · 37 · 54 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6606,747900] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-1128:1] |
Generators of the group modulo torsion |
j |
371694959/3045000 |
j-invariant |
L |
5.3989124930084 |
L(r)(E,1)/r! |
Ω |
0.4035416675784 |
Real period |
R |
0.83617642081934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000105676 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630cw1 18270o1 |
Quadratic twists by: -3 -7 |