Atkin-Lehner |
2- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44944a |
Isogeny class |
Conductor |
44944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
-92045312 = -1 · 215 · 532 |
Discriminant |
Eigenvalues |
2- 1 0 -2 0 -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88,532] |
[a1,a2,a3,a4,a6] |
Generators |
[6:16:1] [-9:26:1] |
Generators of the group modulo torsion |
j |
-6625/8 |
j-invariant |
L |
9.9735189712792 |
L(r)(E,1)/r! |
Ω |
1.7240156390859 |
Real period |
R |
1.4462628332897 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5618a1 44944j1 |
Quadratic twists by: -4 53 |