Atkin-Lehner |
2- 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45570cn |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
243 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-3750464954880 = -1 · 29 · 39 · 5 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3429,-51759] |
[a1,a2,a3,a4,a6] |
Generators |
[18:117:1] |
Generators of the group modulo torsion |
j |
1857060666671/1562042880 |
j-invariant |
L |
11.266418368794 |
L(r)(E,1)/r! |
Ω |
0.43451379203 |
Real period |
R |
0.10670285374216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45570ci1 |
Quadratic twists by: -7 |