Atkin-Lehner |
2- 5- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
109040p |
Isogeny class |
Conductor |
109040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-13957120000 = -1 · 214 · 54 · 29 · 47 |
Discriminant |
Eigenvalues |
2- -2 5- 1 -3 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1280,18100] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-80:1] [-6:160:1] |
Generators of the group modulo torsion |
j |
-56667352321/3407500 |
j-invariant |
L |
8.4538339057443 |
L(r)(E,1)/r! |
Ω |
1.2357236852734 |
Real period |
R |
0.42757505205244 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13630i1 |
Quadratic twists by: -4 |