Atkin-Lehner |
2+ 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
50666b |
Isogeny class |
Conductor |
50666 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
194688 |
Modular degree for the optimal curve |
Δ |
-170908178997248 = -1 · 213 · 79 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- 11+ 2 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23496,-1532096] |
[a1,a2,a3,a4,a6] |
j |
-12193998945913/1452695552 |
j-invariant |
L |
0.38304961979639 |
L(r)(E,1)/r! |
Ω |
0.19152480955931 |
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 |
7238a1 |
Quadratic twists by: -7 |