Atkin-Lehner |
2- 3- 7+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
42294w |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
13839527268 = 22 · 33 · 74 · 19 · 532 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -6 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1742,-27552] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:36:1] |
Generators of the group modulo torsion |
j |
584633565446113/13839527268 |
j-invariant |
L |
11.804954083102 |
L(r)(E,1)/r! |
Ω |
0.74005247647951 |
Real period |
R |
2.6585849108208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126882q1 |
Quadratic twists by: -3 |