Atkin-Lehner |
2- 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
7854o |
Isogeny class |
Conductor |
7854 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
59450130432 = 216 · 32 · 72 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18984,1005120] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:1368:1] |
Generators of the group modulo torsion |
j |
756638294163486337/59450130432 |
j-invariant |
L |
6.4921984580675 |
L(r)(E,1)/r! |
Ω |
1.0589775048979 |
Real period |
R |
0.7663286552406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62832bf1 23562h1 54978bq1 86394bh1 |
Quadratic twists by: -4 -3 -7 -11 |