Atkin-Lehner |
2- 3+ 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87906bb |
Isogeny class |
Conductor |
87906 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-1365495448891392 = -1 · 212 · 36 · 76 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3527,-1774585] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1224:1] |
Generators of the group modulo torsion |
j |
41242421375/11606519808 |
j-invariant |
L |
9.6311685279124 |
L(r)(E,1)/r! |
Ω |
0.22609722923039 |
Real period |
R |
1.7748943234887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986413 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1794i1 |
Quadratic twists by: -7 |