Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51842f |
Isogeny class |
Conductor |
51842 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1892352 |
Modular degree for the optimal curve |
Δ |
-5.0562091580996E+19 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 0 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5560594,5056226148] |
[a1,a2,a3,a4,a6] |
Generators |
[1940946:104504721:2744] |
Generators of the group modulo torsion |
j |
-3183010111/8464 |
j-invariant |
L |
7.5457404418875 |
L(r)(E,1)/r! |
Ω |
0.20087135737836 |
Real period |
R |
9.3912598345817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51842j1 2254d1 |
Quadratic twists by: -7 -23 |