Atkin-Lehner |
3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
60333p |
Isogeny class |
Conductor |
60333 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
77376 |
Modular degree for the optimal curve |
Δ |
-2038511071779 = -1 · 3 · 72 · 138 · 17 |
Discriminant |
Eigenvalues |
-1 3- -1 7- -1 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7186,-244921] |
[a1,a2,a3,a4,a6] |
j |
-50308609/2499 |
j-invariant |
L |
1.5511121311847 |
L(r)(E,1)/r! |
Ω |
0.25851868913625 |
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 |
60333k1 |
Quadratic twists by: 13 |