Atkin-Lehner |
2- 3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
21912g |
Isogeny class |
Conductor |
21912 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-56795904 = -1 · 28 · 35 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 3- -1 4 11- -2 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41,363] |
[a1,a2,a3,a4,a6] |
Generators |
[1:18:1] |
Generators of the group modulo torsion |
j |
-30505984/221859 |
j-invariant |
L |
6.7832291640501 |
L(r)(E,1)/r! |
Ω |
1.70394366816 |
Real period |
R |
0.39808998917052 |
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 |
43824a1 65736c1 |
Quadratic twists by: -4 -3 |