Atkin-Lehner |
2+ 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53802w |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-1.2768496037276E+21 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -4 0 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2468286,-2276113932] |
[a1,a2,a3,a4,a6] |
Generators |
[4797:307845:1] |
Generators of the group modulo torsion |
j |
-19390744433389393/14887575523296 |
j-invariant |
L |
2.2360816442576 |
L(r)(E,1)/r! |
Ω |
0.058289423543545 |
Real period |
R |
4.7952130685856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17934x1 7686g1 |
Quadratic twists by: -3 -7 |