Atkin-Lehner |
2- 19- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
122816i |
Isogeny class |
Conductor |
122816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
56832 |
Modular degree for the optimal curve |
Δ |
-3175530496 = -1 · 214 · 19 · 1012 |
Discriminant |
Eigenvalues |
2- 2 -3 1 3 0 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-437,4589] |
[a1,a2,a3,a4,a6] |
Generators |
[-204:2323:27] |
Generators of the group modulo torsion |
j |
-564600832/193819 |
j-invariant |
L |
8.6768919344923 |
L(r)(E,1)/r! |
Ω |
1.3376041343496 |
Real period |
R |
3.2434454141344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999349134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122816a1 30704c1 |
Quadratic twists by: -4 8 |