Atkin-Lehner |
2+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22646d |
Isogeny class |
Conductor |
22646 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2356992 |
Modular degree for the optimal curve |
Δ |
9.4165080329704E+21 |
Discriminant |
Eigenvalues |
2+ 0 1 5 -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15748784,23602263296] |
[a1,a2,a3,a4,a6] |
j |
2556101543880604358629809/55718982443612051456 |
j-invariant |
L |
1.16495408502 |
L(r)(E,1)/r! |
Ω |
0.12943934278 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22646h1 |
Quadratic twists by: 13 |