Atkin-Lehner |
2- 3+ 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16926z |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
985544921088 = 212 · 38 · 7 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2492,2333] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:217:1] |
Generators of the group modulo torsion |
j |
1711507151858113/985544921088 |
j-invariant |
L |
6.9321889645789 |
L(r)(E,1)/r! |
Ω |
0.74938504011618 |
Real period |
R |
0.77087529479551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50778f1 118482cw1 |
Quadratic twists by: -3 -7 |