Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23940i |
Isogeny class |
Conductor |
23940 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
280800 |
Modular degree for the optimal curve |
Δ |
-575682187500000000 = -1 · 28 · 36 · 513 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 -5 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20472,36487348] |
[a1,a2,a3,a4,a6] |
Generators |
[79443:2512427:343] |
Generators of the group modulo torsion |
j |
5084368707584/3084716796875 |
j-invariant |
L |
3.985793067735 |
L(r)(E,1)/r! |
Ω |
0.22655613295915 |
Real period |
R |
8.7964801828025 |
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 |
95760dx1 2660e1 119700bc1 |
Quadratic twists by: -4 -3 5 |