Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560bx |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-16183800000 = -1 · 26 · 37 · 55 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 -5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,6122] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:45:1] |
Generators of the group modulo torsion |
j |
-262144/346875 |
j-invariant |
L |
4.7207748963124 |
L(r)(E,1)/r! |
Ω |
0.99799839211165 |
Real period |
R |
2.3651214982072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999821925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560ez1 1665e1 35520r1 |
Quadratic twists by: -4 8 -3 |