Atkin-Lehner |
2+ 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52976c |
Isogeny class |
Conductor |
52976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
5933312 = 28 · 72 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 11+ 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-148,636] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:28:1] |
Generators of the group modulo torsion |
j |
1409938000/23177 |
j-invariant |
L |
3.5893835072546 |
L(r)(E,1)/r! |
Ω |
2.3981432858734 |
Real period |
R |
1.4967343813103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999426 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26488k1 |
Quadratic twists by: -4 |