Atkin-Lehner |
2+ 3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120u |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
99912960 = 28 · 33 · 5 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-841,-9661] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:21:8] |
Generators of the group modulo torsion |
j |
257269341184/390285 |
j-invariant |
L |
8.6766407203729 |
L(r)(E,1)/r! |
Ω |
0.88653747600396 |
Real period |
R |
1.6311851723501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49560t1 |
Quadratic twists by: -4 |