Atkin-Lehner |
2+ 3+ 5- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
106950o |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1756800 |
Modular degree for the optimal curve |
Δ |
-295489481250000 = -1 · 24 · 3 · 58 · 232 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 -2 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1625450,796966500] |
[a1,a2,a3,a4,a6] |
Generators |
[-1340:24570:1] [760:770:1] |
Generators of the group modulo torsion |
j |
-1215863830881328585/756453072 |
j-invariant |
L |
7.2072997420288 |
L(r)(E,1)/r! |
Ω |
0.45109473367318 |
Real period |
R |
1.3314460729596 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106950cg1 |
Quadratic twists by: 5 |