Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400df |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
146188800000000 = 215 · 35 · 58 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 4 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20208,933588] |
[a1,a2,a3,a4,a6] |
Generators |
[258:3600:1] |
Generators of the group modulo torsion |
j |
570420625/91368 |
j-invariant |
L |
8.9028522029513 |
L(r)(E,1)/r! |
Ω |
0.55436525861017 |
Real period |
R |
0.26765903480154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000141 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7050y1 56400bf1 |
Quadratic twists by: -4 5 |