Atkin-Lehner |
3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
60333k |
Isogeny class |
Conductor |
60333 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5952 |
Modular degree for the optimal curve |
Δ |
-422331 = -1 · 3 · 72 · 132 · 17 |
Discriminant |
Eigenvalues |
1 3- 1 7+ 1 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-43,-115] |
[a1,a2,a3,a4,a6] |
Generators |
[1626:-389:216] |
Generators of the group modulo torsion |
j |
-50308609/2499 |
j-invariant |
L |
9.4051376004146 |
L(r)(E,1)/r! |
Ω |
0.93210238934648 |
Real period |
R |
5.0451204223635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60333p1 |
Quadratic twists by: 13 |