Atkin-Lehner |
2+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13984a |
Isogeny class |
Conductor |
13984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
492800 |
Modular degree for the optimal curve |
Δ |
-2.5240922913652E+20 |
Discriminant |
Eigenvalues |
2+ 2 1 -1 -1 6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3644045,-2783223931] |
[a1,a2,a3,a4,a6] |
Generators |
[10131058462865196143:16911207987191039002596:3635924387633] |
Generators of the group modulo torsion |
j |
-1306517037693189331456/61623346957157851 |
j-invariant |
L |
7.2099774142345 |
L(r)(E,1)/r! |
Ω |
0.054485345269338 |
Real period |
R |
33.082186497091 |
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 |
13984c1 27968bx1 125856bc1 |
Quadratic twists by: -4 8 -3 |