Atkin-Lehner |
2+ 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
65296i |
Isogeny class |
Conductor |
65296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
5027792 = 24 · 72 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43,-6] |
[a1,a2,a3,a4,a6] |
j |
562432000/314237 |
j-invariant |
L |
1.9981823473993 |
L(r)(E,1)/r! |
Ω |
1.9981823604407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32648f1 |
Quadratic twists by: -4 |