Atkin-Lehner |
2+ 3- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
77550s |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4561920 |
Modular degree for the optimal curve |
Δ |
6.0449204442E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- 7 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3057201,-1683675452] |
[a1,a2,a3,a4,a6] |
j |
323590261866881425/61899985348608 |
j-invariant |
L |
3.7020977170196 |
L(r)(E,1)/r! |
Ω |
0.11569055251184 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77550bq1 |
Quadratic twists by: 5 |