Atkin-Lehner |
2+ 3+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
96720i |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
893229511200000 = 28 · 3 · 55 · 13 · 315 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 2 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-140585,20284725] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:4805:1] |
Generators of the group modulo torsion |
j |
1200338653920787456/3489177778125 |
j-invariant |
L |
5.3974331566195 |
L(r)(E,1)/r! |
Ω |
0.5002580343962 |
Real period |
R |
0.43157193273761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999765117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48360x1 |
Quadratic twists by: -4 |