Atkin-Lehner |
3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111573s |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-38428625473623 = -1 · 36 · 77 · 112 · 232 |
Discriminant |
Eigenvalues |
1 3- -4 7- 11+ 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4401,-277376] |
[a1,a2,a3,a4,a6] |
Generators |
[366:895:8] |
Generators of the group modulo torsion |
j |
109902239/448063 |
j-invariant |
L |
6.2527576602834 |
L(r)(E,1)/r! |
Ω |
0.3282014703394 |
Real period |
R |
2.3814479293636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999434688 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12397o1 15939c1 |
Quadratic twists by: -3 -7 |