Atkin-Lehner |
2- 3- 11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
21318t |
Isogeny class |
Conductor |
21318 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-990519552 = -1 · 28 · 32 · 113 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- 1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-298,2468] |
[a1,a2,a3,a4,a6] |
Generators |
[14:-40:1] |
Generators of the group modulo torsion |
j |
-2927275422625/990519552 |
j-invariant |
L |
9.8215761481905 |
L(r)(E,1)/r! |
Ω |
1.4746405374566 |
Real period |
R |
0.13875664242005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63954j1 |
Quadratic twists by: -3 |