Atkin-Lehner |
2+ 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
95680c |
Isogeny class |
Conductor |
95680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
39190528000 = 220 · 53 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 0 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17761,916961] |
[a1,a2,a3,a4,a6] |
Generators |
[73:64:1] |
Generators of the group modulo torsion |
j |
2363798675161/149500 |
j-invariant |
L |
3.3292918805191 |
L(r)(E,1)/r! |
Ω |
1.0910313252786 |
Real period |
R |
0.76287724171402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95680be1 2990d1 |
Quadratic twists by: -4 8 |