Atkin-Lehner |
2- 3- 5- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109650dk |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
66843667968750 = 2 · 34 · 59 · 173 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 2 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10388,-107358] |
[a1,a2,a3,a4,a6] |
Generators |
[-634:4067:8] |
Generators of the group modulo torsion |
j |
63473450669/34223958 |
j-invariant |
L |
12.027944656071 |
L(r)(E,1)/r! |
Ω |
0.50363754243197 |
Real period |
R |
2.9852680865846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958818 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109650m1 |
Quadratic twists by: 5 |