Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
45486z |
Isogeny class |
Conductor |
45486 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
74905600 |
Modular degree for the optimal curve |
Δ |
5.481251094492E+29 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 -2 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2587757090,36034429939233] |
[a1,a2,a3,a4,a6] |
Generators |
[44033:2709663:1] |
Generators of the group modulo torsion |
j |
8146748259978623875/2330074250477568 |
j-invariant |
L |
8.4412225352552 |
L(r)(E,1)/r! |
Ω |
0.027166318094386 |
Real period |
R |
5.5486399068521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15162a1 45486d1 |
Quadratic twists by: -3 -19 |