Atkin-Lehner |
2+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
96832h |
Isogeny class |
Conductor |
96832 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
10201562611712 = 218 · 173 · 892 |
Discriminant |
Eigenvalues |
2+ -2 -2 2 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8449,-259233] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:204:1] [-37:64:1] |
Generators of the group modulo torsion |
j |
254478514753/38915873 |
j-invariant |
L |
6.8381626183423 |
L(r)(E,1)/r! |
Ω |
0.50307489957739 |
Real period |
R |
2.2654554435684 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995918 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96832bb1 1513a1 |
Quadratic twists by: -4 8 |