Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400da |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
6578496000000 = 212 · 37 · 56 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 5 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4933,-52237] |
[a1,a2,a3,a4,a6] |
j |
207474688/102789 |
j-invariant |
L |
4.1959402531805 |
L(r)(E,1)/r! |
Ω |
0.59942003628841 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3525d1 2256h1 |
Quadratic twists by: -4 5 |