Atkin-Lehner |
2+ 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69600p |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
293625000000 = 26 · 34 · 59 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -2 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4458,-110088] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:36:1] [-34:32:1] |
Generators of the group modulo torsion |
j |
78402752/2349 |
j-invariant |
L |
7.8026876582364 |
L(r)(E,1)/r! |
Ω |
0.58533213716818 |
Real period |
R |
6.6651796157753 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600ca1 69600cb1 |
Quadratic twists by: -4 5 |