Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400cy |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
6696298443571200 = 217 · 39 · 52 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 -5 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-121568,15791988] |
[a1,a2,a3,a4,a6] |
Generators |
[-273:5358:1] [-38:4512:1] |
Generators of the group modulo torsion |
j |
1940372645668105/65393539488 |
j-invariant |
L |
11.128325869208 |
L(r)(E,1)/r! |
Ω |
0.4188720495326 |
Real period |
R |
0.24599410359206 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7050s1 56400bz1 |
Quadratic twists by: -4 5 |