Atkin-Lehner |
2- 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
7854o |
Isogeny class |
Conductor |
7854 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
-18744614063916048 = -1 · 24 · 38 · 72 · 118 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,46376,5353040] |
[a1,a2,a3,a4,a6] |
Generators |
[86:3116:1] |
Generators of the group modulo torsion |
j |
11030697856467805823/18744614063916048 |
j-invariant |
L |
6.4921984580675 |
L(r)(E,1)/r! |
Ω |
0.26474437622447 |
Real period |
R |
3.0653146209624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
62832bf3 23562h3 54978bq3 86394bh3 |
Quadratic twists by: -4 -3 -7 -11 |