Atkin-Lehner |
2- 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56870z |
Isogeny class |
Conductor |
56870 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
2643840 |
Modular degree for the optimal curve |
Δ |
-4.3047160739E+19 |
Discriminant |
Eigenvalues |
2- -3 5- -1 11- -4 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,522213,-280395189] |
[a1,a2,a3,a4,a6] |
Generators |
[411:1674:1] [2291:112594:1] |
Generators of the group modulo torsion |
j |
8890197676520679/24299000000000 |
j-invariant |
L |
9.6569154230241 |
L(r)(E,1)/r! |
Ω |
0.10436968616779 |
Real period |
R |
0.14278712339699 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5170c1 |
Quadratic twists by: -11 |