Atkin-Lehner |
2+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22646a |
Isogeny class |
Conductor |
22646 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
61234784 = 25 · 134 · 67 |
Discriminant |
Eigenvalues |
2+ 0 -3 1 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-116,-272] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:8:1] |
Generators of the group modulo torsion |
j |
6073353/2144 |
j-invariant |
L |
2.5683591160877 |
L(r)(E,1)/r! |
Ω |
1.4964484308613 |
Real period |
R |
0.5721010411764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22646j1 |
Quadratic twists by: 13 |