Atkin-Lehner |
7+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100079c |
Isogeny class |
Conductor |
100079 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4475520 |
Modular degree for the optimal curve |
Δ |
-1438049859149966363 = -1 · 73 · 172 · 299 |
Discriminant |
Eigenvalues |
-2 3 -2 7+ -6 -2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-51301,-57869000] |
[a1,a2,a3,a4,a6] |
Generators |
[4263609:37146124:9261] |
Generators of the group modulo torsion |
j |
-25102282752/2417608403 |
j-invariant |
L |
3.7716813123231 |
L(r)(E,1)/r! |
Ω |
0.1191939543758 |
Real period |
R |
7.9108066093863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063693 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3451c1 |
Quadratic twists by: 29 |