Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416ge |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-4190125539597484032 = -1 · 229 · 36 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 1 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2654508,1667565520] |
[a1,a2,a3,a4,a6] |
j |
-10824513276632329/21926008832 |
j-invariant |
L |
3.4549356533349 |
L(r)(E,1)/r! |
Ω |
0.24678111808757 |
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 |
52416bs1 13104cl1 5824ba1 |
Quadratic twists by: -4 8 -3 |