Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690q |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-47114060587177500 = -1 · 22 · 38 · 54 · 7 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-389434,-94153768] |
[a1,a2,a3,a4,a6] |
j |
-270601485933241/1951897500 |
j-invariant |
L |
1.528248939925 |
L(r)(E,1)/r! |
Ω |
0.095515558607429 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570h1 |
Quadratic twists by: 17 |