Atkin-Lehner |
2- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
96200w |
Isogeny class |
Conductor |
96200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
35594000000000 = 210 · 59 · 13 · 372 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 2 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16008,719488] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:600:1] |
Generators of the group modulo torsion |
j |
28355811844/2224625 |
j-invariant |
L |
4.7784256400528 |
L(r)(E,1)/r! |
Ω |
0.63756006163536 |
Real period |
R |
3.7474317568319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923253 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19240f1 |
Quadratic twists by: 5 |