Atkin-Lehner |
2+ 3+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5394a |
Isogeny class |
Conductor |
5394 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1584 |
Modular degree for the optimal curve |
Δ |
-5631336 = -1 · 23 · 33 · 292 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -3 4 1 1 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-34,124] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:16:1] |
Generators of the group modulo torsion |
j |
-4549540393/5631336 |
j-invariant |
L |
2.2776575664543 |
L(r)(E,1)/r! |
Ω |
2.1742262163715 |
Real period |
R |
0.52378578395018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43152bd1 16182q1 |
Quadratic twists by: -4 -3 |