Atkin-Lehner |
2- 3+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
10680d |
Isogeny class |
Conductor |
10680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
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 |
[22:48:1] |
Generators of the group modulo torsion |
j |
2379293284/20025 |
j-invariant |
L |
4.3312536588164 |
L(r)(E,1)/r! |
Ω |
1.1673507269341 |
Real period |
R |
1.8551638161874 |
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 |
21360d1 85440n1 32040d1 53400h1 |
Quadratic twists by: -4 8 -3 5 |