Atkin-Lehner |
2- 3- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
101808z |
Isogeny class |
Conductor |
101808 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-6620380397568 = -1 · 218 · 36 · 73 · 101 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46731,3890234] |
[a1,a2,a3,a4,a6] |
Generators |
[101:448:1] |
Generators of the group modulo torsion |
j |
-3779648905033/2217152 |
j-invariant |
L |
5.5581511402171 |
L(r)(E,1)/r! |
Ω |
0.74154156913257 |
Real period |
R |
0.62461671499615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12726i1 11312k1 |
Quadratic twists by: -4 -3 |