Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400dd |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
336960 |
Modular degree for the optimal curve |
Δ |
-4347974700000000 = -1 · 28 · 39 · 58 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -4 -1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6333,-3180537] |
[a1,a2,a3,a4,a6] |
Generators |
[399:-7614:1] [183:1350:1] |
Generators of the group modulo torsion |
j |
-280944640/43479747 |
j-invariant |
L |
10.603822057858 |
L(r)(E,1)/r! |
Ω |
0.19432496018362 |
Real period |
R |
0.50525438152645 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14100f1 56400bu1 |
Quadratic twists by: -4 5 |