Atkin-Lehner |
2- 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
118944t |
Isogeny class |
Conductor |
118944 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
53041655181312 = 212 · 312 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 4 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19452,-983680] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:243:1] |
Generators of the group modulo torsion |
j |
272601987904/17763543 |
j-invariant |
L |
5.6134944164156 |
L(r)(E,1)/r! |
Ω |
0.4059113666063 |
Real period |
R |
1.7286700222689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998703332 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118944x2 39648b2 |
Quadratic twists by: -4 -3 |