Atkin-Lehner |
2- 13+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81328l |
Isogeny class |
Conductor |
81328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
99602726912 = 216 · 132 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 0 0 -2 -6 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3275,70522] |
[a1,a2,a3,a4,a6] |
Generators |
[39:46:1] [63:338:1] |
Generators of the group modulo torsion |
j |
948413390625/24317072 |
j-invariant |
L |
9.4281489026853 |
L(r)(E,1)/r! |
Ω |
1.0615237479503 |
Real period |
R |
2.2204281629939 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10166c1 |
Quadratic twists by: -4 |