Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28392k |
Isogeny class |
Conductor |
28392 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
148765188079872 = 28 · 33 · 73 · 137 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6782364,-6800865408] |
[a1,a2,a3,a4,a6] |
j |
27923315228972368/120393 |
j-invariant |
L |
0.56131355025336 |
L(r)(E,1)/r! |
Ω |
0.093552258375579 |
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 |
56784f1 85176bu1 2184l1 |
Quadratic twists by: -4 -3 13 |