Atkin-Lehner |
2+ 3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310t |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1858560 |
Modular degree for the optimal curve |
Δ |
-3.254928904585E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-889164,-925845552] |
[a1,a2,a3,a4,a6] |
Generators |
[551860939416:70409068212:433798093] |
Generators of the group modulo torsion |
j |
-106645386185043035329/446492305155686400 |
j-invariant |
L |
4.286495195094 |
L(r)(E,1)/r! |
Ω |
0.070783742960694 |
Real period |
R |
15.139405659318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770bc1 |
Quadratic twists by: -3 |