Atkin-Lehner |
2- 3- 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
33864j |
Isogeny class |
Conductor |
33864 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
17472 |
Modular degree for the optimal curve |
Δ |
-65568289536 = -1 · 28 · 37 · 17 · 832 |
Discriminant |
Eigenvalues |
2- 3- 1 0 3 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,615,-10629] |
[a1,a2,a3,a4,a6] |
Generators |
[129:1494:1] |
Generators of the group modulo torsion |
j |
100323513344/256126131 |
j-invariant |
L |
7.9470368590561 |
L(r)(E,1)/r! |
Ω |
0.56830928011959 |
Real period |
R |
0.49941599564691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67728c1 101592g1 |
Quadratic twists by: -4 -3 |