Atkin-Lehner |
2+ 7- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
50666f |
Isogeny class |
Conductor |
50666 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41280 |
Modular degree for the optimal curve |
Δ |
-686625632 = -1 · 25 · 73 · 113 · 47 |
Discriminant |
Eigenvalues |
2+ -3 2 7- 11+ 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-121,-1331] |
[a1,a2,a3,a4,a6] |
Generators |
[23:76:1] |
Generators of the group modulo torsion |
j |
-573856191/2001824 |
j-invariant |
L |
3.244579704709 |
L(r)(E,1)/r! |
Ω |
0.66064396764954 |
Real period |
R |
2.4556189593321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50666d1 |
Quadratic twists by: -7 |