Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488ci |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-10848156403392 = -1 · 26 · 35 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ 5 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-333167,-74129973] |
[a1,a2,a3,a4,a6] |
j |
-11085279718912/29403 |
j-invariant |
L |
3.9743295480888 |
L(r)(E,1)/r! |
Ω |
0.099358239259046 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488g1 51744bw1 103488bd1 |
Quadratic twists by: -4 8 -7 |