Atkin-Lehner |
2- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
127600bm |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-6533120000 = -1 · 215 · 54 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 1 5- 0 11+ -5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,3988] |
[a1,a2,a3,a4,a6] |
Generators |
[18:80:1] [12:58:1] |
Generators of the group modulo torsion |
j |
-390625/2552 |
j-invariant |
L |
13.721157460057 |
L(r)(E,1)/r! |
Ω |
1.1504078824651 |
Real period |
R |
0.99393424380533 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999966105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15950t1 127600x1 |
Quadratic twists by: -4 5 |