Atkin-Lehner |
2- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
5180b |
Isogeny class |
Conductor |
5180 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
504 |
Modular degree for the optimal curve |
Δ |
-1015280 = -1 · 24 · 5 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 -4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14,49] |
[a1,a2,a3,a4,a6] |
j |
17643776/63455 |
j-invariant |
L |
1.9695023459474 |
L(r)(E,1)/r! |
Ω |
1.9695023459474 |
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 |
20720i1 82880s1 46620ba1 25900a1 |
Quadratic twists by: -4 8 -3 5 |