Atkin-Lehner |
2- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
106352p |
Isogeny class |
Conductor |
106352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
54452224 = 213 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 0 1 -3 0 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-187,-918] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:6:1] |
Generators of the group modulo torsion |
j |
610929/46 |
j-invariant |
L |
3.9300792362961 |
L(r)(E,1)/r! |
Ω |
1.2971852781249 |
Real period |
R |
1.5148488327973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069509 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13294e1 106352w1 |
Quadratic twists by: -4 17 |