Atkin-Lehner |
2+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111320k |
Isogeny class |
Conductor |
111320 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-631072545664000 = -1 · 210 · 53 · 118 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5- -3 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4880,1217372] |
[a1,a2,a3,a4,a6] |
Generators |
[202:2904:1] |
Generators of the group modulo torsion |
j |
-58564/2875 |
j-invariant |
L |
10.559825384274 |
L(r)(E,1)/r! |
Ω |
0.4254687625125 |
Real period |
R |
1.3788485030893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999913297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111320t1 |
Quadratic twists by: -11 |