Atkin-Lehner |
2- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13984k |
Isogeny class |
Conductor |
13984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
-41168896 = -1 · 212 · 19 · 232 |
Discriminant |
Eigenvalues |
2- -2 -3 -3 -3 2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-77,379] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:4:1] [-2:23:1] |
Generators of the group modulo torsion |
j |
-12487168/10051 |
j-invariant |
L |
3.8710667833659 |
L(r)(E,1)/r! |
Ω |
1.8685380883501 |
Real period |
R |
0.51792719767137 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13984d1 27968bp1 125856o1 |
Quadratic twists by: -4 8 -3 |