Atkin-Lehner |
2+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
2464d |
Isogeny class |
Conductor |
2464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-321399232 = -1 · 26 · 73 · 114 |
Discriminant |
Eigenvalues |
2+ -2 4 7+ 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,34,-848] |
[a1,a2,a3,a4,a6] |
j |
65939264/5021863 |
j-invariant |
L |
1.6344818757739 |
L(r)(E,1)/r! |
Ω |
0.81724093788695 |
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 |
2464g1 4928v1 22176l1 61600br1 |
Quadratic twists by: -4 8 -3 5 |