Atkin-Lehner |
2+ 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119646v |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
22328815104 = 29 · 38 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 2 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1584,-22784] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:23:1] |
Generators of the group modulo torsion |
j |
2086979041/105984 |
j-invariant |
L |
4.48406263056 |
L(r)(E,1)/r! |
Ω |
0.75912960302599 |
Real period |
R |
1.4767118208469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937265 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39882bk1 119646bc1 |
Quadratic twists by: -3 17 |