Atkin-Lehner |
3- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
38775j |
Isogeny class |
Conductor |
38775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
128640 |
Modular degree for the optimal curve |
Δ |
-1774077421875 = -1 · 3 · 57 · 115 · 47 |
Discriminant |
Eigenvalues |
2 3- 5+ -5 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1342,-60781] |
[a1,a2,a3,a4,a6] |
j |
17093758976/113540955 |
j-invariant |
L |
0.83527859225707 |
L(r)(E,1)/r! |
Ω |
0.41763929611149 |
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 |
116325bb1 7755b1 |
Quadratic twists by: -3 5 |