Atkin-Lehner |
2- 3- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41496bd |
Isogeny class |
Conductor |
41496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-143493168 = -1 · 24 · 3 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,125,254] |
[a1,a2,a3,a4,a6] |
Generators |
[7:39:1] |
Generators of the group modulo torsion |
j |
13392287744/8968323 |
j-invariant |
L |
5.3699594155447 |
L(r)(E,1)/r! |
Ω |
1.153567292127 |
Real period |
R |
1.1637724674118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992b1 124488v1 |
Quadratic twists by: -4 -3 |