Atkin-Lehner |
2+ 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38318c |
Isogeny class |
Conductor |
38318 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-3317942745152 = -1 · 26 · 78 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ 3 4 7+ -3 5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1265,-86227] |
[a1,a2,a3,a4,a6] |
j |
38816631/575552 |
j-invariant |
L |
6.2179690035147 |
L(r)(E,1)/r! |
Ω |
0.38862306271416 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38318e1 |
Quadratic twists by: -7 |