Atkin-Lehner |
2- 3+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
90168v |
Isogeny class |
Conductor |
90168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
406669762512 = 24 · 34 · 13 · 176 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2119,22360] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-289:1] |
Generators of the group modulo torsion |
j |
2725888/1053 |
j-invariant |
L |
3.638374662895 |
L(r)(E,1)/r! |
Ω |
0.86230475260556 |
Real period |
R |
1.0548401409706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999881896 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
312c1 |
Quadratic twists by: 17 |