Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450ca |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
15244252920000000 = 29 · 33 · 57 · 132 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1018130,-395115503] |
[a1,a2,a3,a4,a6] |
Generators |
[-587:371:1] |
Generators of the group modulo torsion |
j |
276661817356633227/36134525440 |
j-invariant |
L |
10.718181253579 |
L(r)(E,1)/r! |
Ω |
0.15029764753169 |
Real period |
R |
1.9809176139709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999902572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99450e2 19890a2 |
Quadratic twists by: -3 5 |