Atkin-Lehner |
19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10051d |
Isogeny class |
Conductor |
10051 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
336 |
Modular degree for the optimal curve |
Δ |
10051 = 19 · 232 |
Discriminant |
Eigenvalues |
-1 -1 -1 0 -2 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11,-18] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:1:1] |
Generators of the group modulo torsion |
j |
279841/19 |
j-invariant |
L |
1.8758218628741 |
L(r)(E,1)/r! |
Ω |
2.631458408023 |
Real period |
R |
0.71284495972077 |
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 |
90459p1 10051c1 |
Quadratic twists by: -3 -23 |