Atkin-Lehner |
2- 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424dl |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
2219520 |
Modular degree for the optimal curve |
Δ |
-5.4485709881787E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 5 1 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1278433,1252886687] |
[a1,a2,a3,a4,a6] |
j |
-1762982669155531250/4156929770033781 |
j-invariant |
L |
4.9481048879028 |
L(r)(E,1)/r! |
Ω |
0.14553249668691 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424w1 11856c1 |
Quadratic twists by: -4 8 |