Atkin-Lehner |
2- 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
23700k |
Isogeny class |
Conductor |
23700 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-42126750000 = -1 · 24 · 33 · 56 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 -2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-433,-10612] |
[a1,a2,a3,a4,a6] |
Generators |
[1292:46452:1] |
Generators of the group modulo torsion |
j |
-35995648/168507 |
j-invariant |
L |
6.0541678429384 |
L(r)(E,1)/r! |
Ω |
0.47386218541097 |
Real period |
R |
4.2587402197876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94800be1 71100e1 948a1 |
Quadratic twists by: -4 -3 5 |