Atkin-Lehner |
2+ 3- 5- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
111690s |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
330240 |
Modular degree for the optimal curve |
Δ |
-4121989256250 = -1 · 2 · 312 · 55 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 3 0 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16974,861030] |
[a1,a2,a3,a4,a6] |
Generators |
[81:72:1] [69:-156:1] |
Generators of the group modulo torsion |
j |
-741930405105889/5654306250 |
j-invariant |
L |
9.6084567575666 |
L(r)(E,1)/r! |
Ω |
0.78450786517151 |
Real period |
R |
0.61238753516839 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37230bd1 |
Quadratic twists by: -3 |