Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
84960bc |
Isogeny class |
Conductor |
84960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
2959913793600 = 26 · 312 · 52 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9633,-354368] |
[a1,a2,a3,a4,a6] |
Generators |
[14391:1726340:1] |
Generators of the group modulo torsion |
j |
2118853307584/63441225 |
j-invariant |
L |
6.1682751791571 |
L(r)(E,1)/r! |
Ω |
0.48278591154313 |
Real period |
R |
6.3882095867037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003674 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
84960bf1 28320p1 |
Quadratic twists by: -4 -3 |