Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
9090m |
Isogeny class |
Conductor |
9090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-218160 = -1 · 24 · 33 · 5 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -5 4 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38,101] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1:1] |
Generators of the group modulo torsion |
j |
-219256227/8080 |
j-invariant |
L |
6.2145014208506 |
L(r)(E,1)/r! |
Ω |
3.1321068922461 |
Real period |
R |
0.24801601743842 |
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 |
72720z1 9090c1 45450f1 |
Quadratic twists by: -4 -3 5 |