Atkin-Lehner |
2+ 3- 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650bh |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-20034000 = -1 · 24 · 33 · 53 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 5 3 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,59,128] |
[a1,a2,a3,a4,a6] |
Generators |
[7:26:1] |
Generators of the group modulo torsion |
j |
186169411/160272 |
j-invariant |
L |
5.8960939423963 |
L(r)(E,1)/r! |
Ω |
1.4049400993692 |
Real period |
R |
0.34972392209429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000151 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55650cr1 |
Quadratic twists by: 5 |