Atkin-Lehner |
2+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111320l |
Isogeny class |
Conductor |
111320 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
-3944203410400000 = -1 · 28 · 55 · 118 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 11- 4 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1775,-3020877] |
[a1,a2,a3,a4,a6] |
Generators |
[161:1210:1] |
Generators of the group modulo torsion |
j |
11264/71875 |
j-invariant |
L |
4.9748943669777 |
L(r)(E,1)/r! |
Ω |
0.20374615230352 |
Real period |
R |
0.40695201337762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999057386 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111320u1 |
Quadratic twists by: -11 |