Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330ea |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5206291249725878130 = 2 · 310 · 5 · 714 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-504293,-83228533] |
[a1,a2,a3,a4,a6] |
j |
165369706597369/60703354530 |
j-invariant |
L |
2.954800291291 |
L(r)(E,1)/r! |
Ω |
0.18467501833843 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110bg4 8190by4 |
Quadratic twists by: -3 -7 |