Atkin-Lehner |
2+ 5+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54050a |
Isogeny class |
Conductor |
54050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
79561600000000000 = 216 · 511 · 232 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 -1 5 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1727625,873197125] |
[a1,a2,a3,a4,a6] |
Generators |
[690:2855:1] |
Generators of the group modulo torsion |
j |
36496609335874699921/5091942400000 |
j-invariant |
L |
3.5699692608917 |
L(r)(E,1)/r! |
Ω |
0.330829775766 |
Real period |
R |
1.3488693893527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10810f1 |
Quadratic twists by: 5 |