Atkin-Lehner |
3- 5+ 29+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
56115d |
Isogeny class |
Conductor |
56115 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
946176 |
Modular degree for the optimal curve |
Δ |
-3057201666595546875 = -1 · 322 · 57 · 29 · 43 |
Discriminant |
Eigenvalues |
1 3- 5+ 3 -4 -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-425880,136195951] |
[a1,a2,a3,a4,a6] |
j |
-11718134907527018881/4193692272421875 |
j-invariant |
L |
0.47661044821512 |
L(r)(E,1)/r! |
Ω |
0.23830522507574 |
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 |
18705d1 |
Quadratic twists by: -3 |