Atkin-Lehner |
2+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
2678a |
Isogeny class |
Conductor |
2678 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
9162569792463306752 = 223 · 139 · 103 |
Discriminant |
Eigenvalues |
2+ 2 -2 3 -3 13+ 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2882796,-1879512496] |
[a1,a2,a3,a4,a6] |
j |
2649510713007509894907337/9162569792463306752 |
j-invariant |
L |
1.8541990356944 |
L(r)(E,1)/r! |
Ω |
0.1158874397309 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21424h1 85696be1 24102ba1 66950be1 |
Quadratic twists by: -4 8 -3 5 |