Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18928m |
Isogeny class |
Conductor |
18928 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-46777262465024 = -1 · 213 · 7 · 138 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8056,172912] |
[a1,a2,a3,a4,a6] |
j |
17303/14 |
j-invariant |
L |
2.466986512927 |
L(r)(E,1)/r! |
Ω |
0.41116441882116 |
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 |
2366d1 75712by1 18928y1 |
Quadratic twists by: -4 8 13 |