Atkin-Lehner |
2+ 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
99216m |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
552010837248 = 28 · 310 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 -4 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2055,2806] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:108:1] |
Generators of the group modulo torsion |
j |
5142706000/2957877 |
j-invariant |
L |
7.4705603254478 |
L(r)(E,1)/r! |
Ω |
0.78726776959617 |
Real period |
R |
2.3723060287869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028267 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49608p2 33072i2 |
Quadratic twists by: -4 -3 |