Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992cb |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
209938563072 = 214 · 310 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3036,60496] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:324:1] |
Generators of the group modulo torsion |
j |
259108432/17577 |
j-invariant |
L |
5.0670687539689 |
L(r)(E,1)/r! |
Ω |
0.981288497663 |
Real period |
R |
1.2909222873068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999730123 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992fz1 15624j1 41664br1 |
Quadratic twists by: -4 8 -3 |