Atkin-Lehner |
2- 3+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
21912c |
Isogeny class |
Conductor |
21912 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
681550848 = 210 · 36 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-232,-452] |
[a1,a2,a3,a4,a6] |
Generators |
[241:3726:1] |
Generators of the group modulo torsion |
j |
1354435492/665577 |
j-invariant |
L |
4.9716529137831 |
L(r)(E,1)/r! |
Ω |
1.28559478052 |
Real period |
R |
3.8672006056001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43824h1 65736g1 |
Quadratic twists by: -4 -3 |