Atkin-Lehner |
2- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
44384d |
Isogeny class |
Conductor |
44384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
1686592 = 26 · 192 · 73 |
Discriminant |
Eigenvalues |
2- 0 -4 -2 -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37,60] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:12:1] [-3:12:1] |
Generators of the group modulo torsion |
j |
87528384/26353 |
j-invariant |
L |
6.4795525334883 |
L(r)(E,1)/r! |
Ω |
2.4660102738325 |
Real period |
R |
2.6275448250337 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44384c1 88768f1 |
Quadratic twists by: -4 8 |