Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
94864bk |
Isogeny class |
Conductor |
94864 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
609266696192 = 221 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11- -2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92528,10864064] |
[a1,a2,a3,a4,a6] |
Generators |
[40:2688:1] |
Generators of the group modulo torsion |
j |
73622481625/512 |
j-invariant |
L |
10.097948959756 |
L(r)(E,1)/r! |
Ω |
0.81834538472939 |
Real period |
R |
1.0282892309593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858z1 94864cx1 94864bj1 |
Quadratic twists by: -4 -7 -11 |