Atkin-Lehner |
3+ 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
38775b |
Isogeny class |
Conductor |
38775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
619008 |
Modular degree for the optimal curve |
Δ |
-8786144256591796875 = -1 · 34 · 519 · 112 · 47 |
Discriminant |
Eigenvalues |
0 3+ 5+ 2 11- -3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-564033,-216426157] |
[a1,a2,a3,a4,a6] |
j |
-1270041751836688384/562313232421875 |
j-invariant |
L |
1.3643964757936 |
L(r)(E,1)/r! |
Ω |
0.085274779735705 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116325t1 7755g1 |
Quadratic twists by: -3 5 |