Atkin-Lehner |
2+ 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
112200s |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
99072 |
Modular degree for the optimal curve |
Δ |
-43774830000 = -1 · 24 · 34 · 54 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11- 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2483,49512] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:51:1] [11:153:1] |
Generators of the group modulo torsion |
j |
-169366988800/4377483 |
j-invariant |
L |
9.630471234944 |
L(r)(E,1)/r! |
Ω |
1.1373052232674 |
Real period |
R |
0.7056498584037 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977355 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112200ck1 |
Quadratic twists by: 5 |