Atkin-Lehner |
2- 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
87100j |
Isogeny class |
Conductor |
87100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-353843750000 = -1 · 24 · 59 · 132 · 67 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 0 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1742,6613] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:37:1] |
Generators of the group modulo torsion |
j |
2337108224/1415375 |
j-invariant |
L |
8.8202348058375 |
L(r)(E,1)/r! |
Ω |
0.58825785749864 |
Real period |
R |
3.7484560070606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008245 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17420h1 |
Quadratic twists by: 5 |