Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60112h |
Isogeny class |
Conductor |
60112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
867069015201489152 = 28 · 134 · 179 |
Discriminant |
Eigenvalues |
2+ -2 -2 2 -2 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408164,89679772] |
[a1,a2,a3,a4,a6] |
Generators |
[2323:108086:1] |
Generators of the group modulo torsion |
j |
1217013440848/140320193 |
j-invariant |
L |
3.0822080466905 |
L(r)(E,1)/r! |
Ω |
0.27183285866715 |
Real period |
R |
2.834653674727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992246 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30056i1 3536d1 |
Quadratic twists by: -4 17 |