Atkin-Lehner |
2+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13984c |
Isogeny class |
Conductor |
13984 |
Conductor |
∏ cp |
44 |
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 |
[6362:157757:8] |
Generators of the group modulo torsion |
j |
-1306517037693189331456/61623346957157851 |
j-invariant |
L |
4.0474296633317 |
L(r)(E,1)/r! |
Ω |
0.17336143679686 |
Real period |
R |
0.53060841847302 |
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 |
13984a1 27968bo1 125856bh1 |
Quadratic twists by: -4 8 -3 |