Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
59976g |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-17611502340096 = -1 · 211 · 36 · 74 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ -2 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47187,3950478] |
[a1,a2,a3,a4,a6] |
j |
-3241463778/4913 |
j-invariant |
L |
1.3816073229991 |
L(r)(E,1)/r! |
Ω |
0.69080366074344 |
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 |
119952m1 6664b1 59976q1 |
Quadratic twists by: -4 -3 -7 |