Atkin-Lehner |
2+ 5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89930p |
Isogeny class |
Conductor |
89930 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13910400 |
Modular degree for the optimal curve |
Δ |
-7.838616382687E+21 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 -4 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-64886357,201194999789] |
[a1,a2,a3,a4,a6] |
Generators |
[5434697367:110093889034:970299] |
Generators of the group modulo torsion |
j |
-16773873885947087/4352000000 |
j-invariant |
L |
8.5619521063517 |
L(r)(E,1)/r! |
Ω |
0.1283848740996 |
Real period |
R |
11.114954385379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999883363 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89930i1 |
Quadratic twists by: -23 |