Atkin-Lehner |
2+ 3- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
99216r |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-9128051204732928 = -1 · 211 · 311 · 132 · 533 |
Discriminant |
Eigenvalues |
2+ 3- -2 -3 -3 13- 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,50829,-1294126] |
[a1,a2,a3,a4,a6] |
Generators |
[2311:111618:1] [205:-4212:1] |
Generators of the group modulo torsion |
j |
9727493027614/6113931759 |
j-invariant |
L |
8.9629564309748 |
L(r)(E,1)/r! |
Ω |
0.23626758885474 |
Real period |
R |
0.39516266253031 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49608h1 33072c1 |
Quadratic twists by: -4 -3 |