Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93288bm |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
1586466176256 = 28 · 313 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 -3 13+ -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16761,827451] |
[a1,a2,a3,a4,a6] |
Generators |
[105:-486:1] [-130:909:1] |
Generators of the group modulo torsion |
j |
12037123910656/36669429 |
j-invariant |
L |
10.957447318103 |
L(r)(E,1)/r! |
Ω |
0.84820647189417 |
Real period |
R |
0.49686048790083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93288r1 |
Quadratic twists by: 13 |