Atkin-Lehner |
2+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89930s |
Isogeny class |
Conductor |
89930 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-115428695467119920 = -1 · 24 · 5 · 179 · 233 |
Discriminant |
Eigenvalues |
2+ -3 5- 4 1 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-565324,-164277440] |
[a1,a2,a3,a4,a6] |
Generators |
[4750186:172092143:2744] |
Generators of the group modulo torsion |
j |
-1642225932254270943/9487030119760 |
j-invariant |
L |
3.965122545922 |
L(r)(E,1)/r! |
Ω |
0.087025230298441 |
Real period |
R |
11.390726921988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028527 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89930k1 |
Quadratic twists by: -23 |