Atkin-Lehner |
2- 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570cr |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
51408 |
Modular degree for the optimal curve |
Δ |
-193005537480 = -1 · 23 · 33 · 5 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,979,17625] |
[a1,a2,a3,a4,a6] |
j |
17999471/33480 |
j-invariant |
L |
2.0788872477477 |
L(r)(E,1)/r! |
Ω |
0.69296241600286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
45570cd1 |
Quadratic twists by: -7 |