Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400cr |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-4.28717762E+19 |
Discriminant |
Eigenvalues |
2- -3 5+ 3 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-565675,355044250] |
[a1,a2,a3,a4,a6] |
Generators |
[1015:28750:1] |
Generators of the group modulo torsion |
j |
-1459161/3125 |
j-invariant |
L |
4.2212254279521 |
L(r)(E,1)/r! |
Ω |
0.18040446637381 |
Real period |
R |
2.9248343408655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999694 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3025f1 9680bf1 48400cs1 |
Quadratic twists by: -4 5 -11 |