Atkin-Lehner |
2- 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59280bg |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
23654400 |
Modular degree for the optimal curve |
Δ |
-4.3008019139112E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-448066360,3664337498992] |
[a1,a2,a3,a4,a6] |
Generators |
[14914:546750:1] |
Generators of the group modulo torsion |
j |
-2428794565340780295912448441/10500004672634880000000 |
j-invariant |
L |
5.4545407319822 |
L(r)(E,1)/r! |
Ω |
0.064506767704844 |
Real period |
R |
3.0199160969519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993853 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7410m1 |
Quadratic twists by: -4 |