Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680bd |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
10221120 = 26 · 33 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-306,2160] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:52:1] |
Generators of the group modulo torsion |
j |
49673699776/159705 |
j-invariant |
L |
3.8815354183284 |
L(r)(E,1)/r! |
Ω |
2.2971156685406 |
Real period |
R |
1.6897431293912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680s1 87360cv1 |
Quadratic twists by: -4 8 |