Atkin-Lehner |
2- 3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17940a |
Isogeny class |
Conductor |
17940 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-48409252628256000 = -1 · 28 · 311 · 53 · 135 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 13+ 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-454156,118429000] |
[a1,a2,a3,a4,a6] |
Generators |
[-181713:4971266:343] |
Generators of the group modulo torsion |
j |
-40466893980348923344/189098643079125 |
j-invariant |
L |
3.8787352810073 |
L(r)(E,1)/r! |
Ω |
0.35924935315698 |
Real period |
R |
10.796777355122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71760bm1 53820q1 89700t1 |
Quadratic twists by: -4 -3 5 |