Atkin-Lehner |
7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48139d |
Isogeny class |
Conductor |
48139 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
143616 |
Modular degree for the optimal curve |
Δ |
-2168873809739 = -1 · 72 · 13 · 237 |
Discriminant |
Eigenvalues |
-2 -1 3 7+ -1 13+ -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-22394,-1284378] |
[a1,a2,a3,a4,a6] |
j |
-8390176768/14651 |
j-invariant |
L |
0.78045804856331 |
L(r)(E,1)/r! |
Ω |
0.19511451221762 |
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 |
2093e1 |
Quadratic twists by: -23 |