Atkin-Lehner |
2+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72128f |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-1871120743228506112 = -1 · 232 · 77 · 232 |
Discriminant |
Eigenvalues |
2+ 2 0 7- -4 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,108127,-64410079] |
[a1,a2,a3,a4,a6] |
j |
4533086375/60669952 |
j-invariant |
L |
0.51675712416243 |
L(r)(E,1)/r! |
Ω |
0.12918928389171 |
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 |
72128cd1 2254a1 10304j1 |
Quadratic twists by: -4 8 -7 |