Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51984bb |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1149120 |
Modular degree for the optimal curve |
Δ |
-9153632874366830592 = -1 · 211 · 36 · 1910 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 3 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-390963,173326930] |
[a1,a2,a3,a4,a6] |
Generators |
[4773875122515:191940766265530:2679826869] |
Generators of the group modulo torsion |
j |
-722 |
j-invariant |
L |
8.9021976488992 |
L(r)(E,1)/r! |
Ω |
0.20803188911571 |
Real period |
R |
21.396233257171 |
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 |
25992o1 5776e1 51984q1 |
Quadratic twists by: -4 -3 -19 |