Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10560t |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-39600000000 = -1 · 210 · 32 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-701,11715] |
[a1,a2,a3,a4,a6] |
Generators |
[31:144:1] |
Generators of the group modulo torsion |
j |
-37256083456/38671875 |
j-invariant |
L |
5.1927789725645 |
L(r)(E,1)/r! |
Ω |
1.0452840960706 |
Real period |
R |
2.4839079596088 |
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 |
10560bh1 1320h1 31680bf1 52800x1 |
Quadratic twists by: -4 8 -3 5 |