Atkin-Lehner |
2+ 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
3486d |
Isogeny class |
Conductor |
3486 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
4047998976 = 212 · 35 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -6 4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-569,4005] |
[a1,a2,a3,a4,a6] |
j |
20429256361753/4047998976 |
j-invariant |
L |
1.3176675355396 |
L(r)(E,1)/r! |
Ω |
1.3176675355396 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27888bg1 111552bw1 10458x1 87150cp1 |
Quadratic twists by: -4 8 -3 5 |