Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24255bs |
Isogeny class |
Conductor |
24255 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-1.9823955143187E+19 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15426,-214219265] |
[a1,a2,a3,a4,a6] |
Generators |
[1785704123575752497474:-73539591704908450533313:1038619762273181431] |
Generators of the group modulo torsion |
j |
4733169839/231139696095 |
j-invariant |
L |
6.8244921708895 |
L(r)(E,1)/r! |
Ω |
0.099724856516671 |
Real period |
R |
34.216605615014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8085g1 121275en1 3465i1 |
Quadratic twists by: -3 5 -7 |