Atkin-Lehner |
2- 3- 7+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
112518bd |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
585991043568 = 24 · 38 · 7 · 192 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4874,-124455] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:69:1] |
Generators of the group modulo torsion |
j |
17561807821657/803828592 |
j-invariant |
L |
11.580005870794 |
L(r)(E,1)/r! |
Ω |
0.57301234017804 |
Real period |
R |
1.2630624421758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015786 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37506d2 |
Quadratic twists by: -3 |