Atkin-Lehner |
2+ 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
5712a |
Isogeny class |
Conductor |
5712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-124418052864 = -1 · 28 · 35 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ -1 -3 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,119,-17003] |
[a1,a2,a3,a4,a6] |
j |
721888256/486008019 |
j-invariant |
L |
0.97583474423407 |
L(r)(E,1)/r! |
Ω |
0.48791737211703 |
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 |
2856j1 22848cn1 17136c1 39984l1 |
Quadratic twists by: -4 8 -3 -7 |