Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20064i |
Isogeny class |
Conductor |
20064 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1099025142336 = 26 · 32 · 114 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43682,-3528240] |
[a1,a2,a3,a4,a6] |
Generators |
[31055115:796782888:42875] |
Generators of the group modulo torsion |
j |
144032740431412672/17172267849 |
j-invariant |
L |
7.9600319984747 |
L(r)(E,1)/r! |
Ω |
0.33023736055002 |
Real period |
R |
12.051985858319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20064q1 40128h2 60192q1 |
Quadratic twists by: -4 8 -3 |