Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53900bk |
Isogeny class |
Conductor |
53900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
44388967700000000 = 28 · 58 · 79 · 11 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11- -3 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-114333,-10931537] |
[a1,a2,a3,a4,a6] |
Generators |
[27876:300811:64] |
Generators of the group modulo torsion |
j |
40960/11 |
j-invariant |
L |
3.3275251559714 |
L(r)(E,1)/r! |
Ω |
0.26484274686145 |
Real period |
R |
6.2820771861732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53900t1 53900bi1 |
Quadratic twists by: 5 -7 |