Atkin-Lehner |
2- 7+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
63784j |
Isogeny class |
Conductor |
63784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-14287616 = -1 · 28 · 72 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 1 -2 7+ 1 0 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-169,811] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:14:1] [6:7:1] |
Generators of the group modulo torsion |
j |
-2097544192/55811 |
j-invariant |
L |
10.210249921217 |
L(r)(E,1)/r! |
Ω |
2.2195247629613 |
Real period |
R |
1.1500491109201 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999824 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127568n1 |
Quadratic twists by: -4 |