Atkin-Lehner |
2- 3+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
53328h |
Isogeny class |
Conductor |
53328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2733696 |
Modular degree for the optimal curve |
Δ |
-8.4834533063188E+21 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 11+ -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4482096,2508111936] |
[a1,a2,a3,a4,a6] |
j |
2431124108281300361903/2071155592362996414 |
j-invariant |
L |
0.6782147406611 |
L(r)(E,1)/r! |
Ω |
0.084776842429355 |
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 |
6666i1 |
Quadratic twists by: -4 |