Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680fh |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-2310656965056921600 = -1 · 228 · 310 · 52 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,326733,-13464974] |
[a1,a2,a3,a4,a6] |
Generators |
[65577:16793600:1] |
Generators of the group modulo torsion |
j |
1291859362462031/773834342400 |
j-invariant |
L |
7.4038312372093 |
L(r)(E,1)/r! |
Ω |
0.15094241725118 |
Real period |
R |
6.1313375068649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710n1 28560df1 |
Quadratic twists by: -4 -3 |