Atkin-Lehner |
2- 3+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8970h |
Isogeny class |
Conductor |
8970 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
13755875328000 = 220 · 33 · 53 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-273646,-55211221] |
[a1,a2,a3,a4,a6] |
j |
2266162893640266805729/13755875328000 |
j-invariant |
L |
2.0873843762755 |
L(r)(E,1)/r! |
Ω |
0.20873843762755 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71760bo1 26910s1 44850ba1 116610j1 |
Quadratic twists by: -4 -3 5 13 |