Atkin-Lehner |
2+ 5+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
112880a |
Isogeny class |
Conductor |
112880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-8818750000 = -1 · 24 · 58 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 0 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,262,-4213] |
[a1,a2,a3,a4,a6] |
Generators |
[4193364773:-22034059488:174676879] |
Generators of the group modulo torsion |
j |
124310439936/551171875 |
j-invariant |
L |
5.345099492679 |
L(r)(E,1)/r! |
Ω |
0.65792259631955 |
Real period |
R |
16.248414413331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999892079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56440b1 |
Quadratic twists by: -4 |