Atkin-Lehner |
2+ 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
21360d |
Isogeny class |
Conductor |
21360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
20505600 = 210 · 32 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-280,1700] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:60:1] |
Generators of the group modulo torsion |
j |
2379293284/20025 |
j-invariant |
L |
6.210919407758 |
L(r)(E,1)/r! |
Ω |
2.1698440569598 |
Real period |
R |
0.71559513549332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10680d1 85440z1 64080g1 106800a1 |
Quadratic twists by: -4 8 -3 5 |