Atkin-Lehner |
2- 3+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
5538l |
Isogeny class |
Conductor |
5538 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
975744 |
Modular degree for the optimal curve |
Δ |
-1.8258652036885E+19 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 -5 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-311376690,2114709023679] |
[a1,a2,a3,a4,a6] |
Generators |
[10073:14931:1] |
Generators of the group modulo torsion |
j |
-3338735425967648730775360534561/18258652036885118976 |
j-invariant |
L |
4.9042558439405 |
L(r)(E,1)/r! |
Ω |
0.14833162085863 |
Real period |
R |
0.50095122197302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44304h1 16614f1 71994e1 |
Quadratic twists by: -4 -3 13 |