Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64944bo |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
20042620342272 = 212 · 37 · 113 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10011,319754] |
[a1,a2,a3,a4,a6] |
Generators |
[119:902:1] [-86:738:1] |
Generators of the group modulo torsion |
j |
37159393753/6712233 |
j-invariant |
L |
8.1433184178158 |
L(r)(E,1)/r! |
Ω |
0.65107610978022 |
Real period |
R |
0.52114480777258 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4059a1 21648p1 |
Quadratic twists by: -4 -3 |