Atkin-Lehner |
2- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
12784c |
Isogeny class |
Conductor |
12784 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
184841379381248 = 217 · 172 · 474 |
Discriminant |
Eigenvalues |
2- -2 0 -4 2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15248,306964] |
[a1,a2,a3,a4,a6] |
Generators |
[290:4512:1] |
Generators of the group modulo torsion |
j |
95726216868625/45127289888 |
j-invariant |
L |
2.7039616194822 |
L(r)(E,1)/r! |
Ω |
0.50745761134716 |
Real period |
R |
0.66605603084363 |
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 |
1598a2 51136i2 115056ba2 |
Quadratic twists by: -4 8 -3 |