Atkin-Lehner |
2+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
29680c |
Isogeny class |
Conductor |
29680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
508928 |
Modular degree for the optimal curve |
Δ |
-3.6838941345288E+19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -2 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1100456,531334244] |
[a1,a2,a3,a4,a6] |
j |
-143926975147038505636/35975528657508125 |
j-invariant |
L |
1.5664373097454 |
L(r)(E,1)/r! |
Ω |
0.19580466371827 |
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 |
14840a1 118720be1 |
Quadratic twists by: -4 8 |