Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610ck |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
2119680 |
Modular degree for the optimal curve |
Δ |
-1.4030120944398E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 1 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1202252,-762729649] |
[a1,a2,a3,a4,a6] |
Generators |
[4629:302389:1] |
Generators of the group modulo torsion |
j |
-3366353209/2457600 |
j-invariant |
L |
10.989636188326 |
L(r)(E,1)/r! |
Ω |
0.069857652221024 |
Real period |
R |
0.43698530109818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870m1 47610by1 |
Quadratic twists by: -3 -23 |