Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488dl |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-176041672704 = -1 · 214 · 37 · 173 |
Discriminant |
Eigenvalues |
2- 3- -1 2 -3 -3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-181,-20269] |
[a1,a2,a3,a4,a6] |
Generators |
[62:459:1] |
Generators of the group modulo torsion |
j |
-8192/2187 |
j-invariant |
L |
6.9575472007837 |
L(r)(E,1)/r! |
Ω |
0.45375367711344 |
Real period |
R |
1.0952366498788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000139 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488e1 13872s1 55488cg1 |
Quadratic twists by: -4 8 17 |