Atkin-Lehner |
2+ 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57798q |
Isogeny class |
Conductor |
57798 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10838016 |
Modular degree for the optimal curve |
Δ |
-2.3273993561639E+24 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 0 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18032184,-67226942912] |
[a1,a2,a3,a4,a6] |
Generators |
[2688:24344:1] [26048:4238504:1] |
Generators of the group modulo torsion |
j |
184281206604333047/661429053732096 |
j-invariant |
L |
5.7532510865181 |
L(r)(E,1)/r! |
Ω |
0.041647031634269 |
Real period |
R |
4.3169726484418 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19266q1 4446r1 |
Quadratic twists by: -3 13 |