Atkin-Lehner |
2- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
99416f |
Isogeny class |
Conductor |
99416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
9302156288 = 210 · 173 · 432 |
Discriminant |
Eigenvalues |
2- 0 0 2 6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1955,-32946] |
[a1,a2,a3,a4,a6] |
Generators |
[-9282:4080:343] |
Generators of the group modulo torsion |
j |
164254500/1849 |
j-invariant |
L |
7.7052180258168 |
L(r)(E,1)/r! |
Ω |
0.71846944993003 |
Real period |
R |
5.3622447112041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012613 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99416g1 |
Quadratic twists by: 17 |