Atkin-Lehner |
2- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22646j |
Isogeny class |
Conductor |
22646 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
295568606524256 = 25 · 1310 · 67 |
Discriminant |
Eigenvalues |
2- 0 3 -1 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19636,-656457] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:645:1] |
Generators of the group modulo torsion |
j |
6073353/2144 |
j-invariant |
L |
9.1448503011184 |
L(r)(E,1)/r! |
Ω |
0.41504011911986 |
Real period |
R |
4.4067307616002 |
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 |
22646a1 |
Quadratic twists by: 13 |