Atkin-Lehner |
2+ 7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38318a |
Isogeny class |
Conductor |
38318 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
255360 |
Modular degree for the optimal curve |
Δ |
-28083067394966528 = -1 · 210 · 78 · 17 · 234 |
Discriminant |
Eigenvalues |
2+ 1 -2 7+ -3 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,52943,-6554684] |
[a1,a2,a3,a4,a6] |
Generators |
[23241:690878:27] |
Generators of the group modulo torsion |
j |
2846930232503/4871472128 |
j-invariant |
L |
3.3272924350429 |
L(r)(E,1)/r! |
Ω |
0.19655533487744 |
Real period |
R |
4.2320047394241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38318h1 |
Quadratic twists by: -7 |