Atkin-Lehner |
2+ 7+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51646b |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3223584 |
Modular degree for the optimal curve |
Δ |
-4.7302219480923E+19 |
Discriminant |
Eigenvalues |
2+ 1 -4 7+ -4 -5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2269118,1356415792] |
[a1,a2,a3,a4,a6] |
j |
-538148977778823235321/19701049346490368 |
j-invariant |
L |
0.4001574868069 |
L(r)(E,1)/r! |
Ω |
0.20007874218883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51646k1 |
Quadratic twists by: -7 |