Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
97344gg |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
14760465408 = 210 · 38 · 133 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -2 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1560,-22984] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:27:1] [49:135:1] |
Generators of the group modulo torsion |
j |
256000/9 |
j-invariant |
L |
10.869044580731 |
L(r)(E,1)/r! |
Ω |
0.76129958293153 |
Real period |
R |
3.5692402913775 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344da1 24336t1 32448ct1 97344gf1 |
Quadratic twists by: -4 8 -3 13 |