Atkin-Lehner |
2+ 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
9090j |
Isogeny class |
Conductor |
9090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-141367680 = -1 · 27 · 37 · 5 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 0 3 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,126,148] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:5:1] |
Generators of the group modulo torsion |
j |
302111711/193920 |
j-invariant |
L |
3.0852729729621 |
L(r)(E,1)/r! |
Ω |
1.1457373953019 |
Real period |
R |
1.3464136658249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72720bx1 3030p1 45450by1 |
Quadratic twists by: -4 -3 5 |