Atkin-Lehner |
2+ 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
71736a |
Isogeny class |
Conductor |
71736 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-6861404928 = -1 · 28 · 3 · 74 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 -3 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,327,3165] |
[a1,a2,a3,a4,a6] |
Generators |
[89:-854:1] [5:70:1] |
Generators of the group modulo torsion |
j |
6272000/11163 |
j-invariant |
L |
9.2219390086869 |
L(r)(E,1)/r! |
Ω |
0.91280499055333 |
Real period |
R |
0.42095240787736 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71736e1 |
Quadratic twists by: -7 |