Atkin-Lehner |
3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56277k |
Isogeny class |
Conductor |
56277 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
1.3681972521475E+20 |
Discriminant |
Eigenvalues |
1 3- 2 -2 4 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20989071,-37002081128] |
[a1,a2,a3,a4,a6] |
Generators |
[39737529069864:-11091450968073932:510082399] |
Generators of the group modulo torsion |
j |
290613464285776633/38883116961 |
j-invariant |
L |
8.3334774544765 |
L(r)(E,1)/r! |
Ω |
0.07053501065318 |
Real period |
R |
19.691113621868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999136 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18759g1 4329f1 |
Quadratic twists by: -3 13 |