Atkin-Lehner |
3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345s |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
43085560665 = 3 · 5 · 7 · 177 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10844,-435403] |
[a1,a2,a3,a4,a6] |
j |
5841725401/1785 |
j-invariant |
L |
0.93571789363832 |
L(r)(E,1)/r! |
Ω |
0.46785894681807 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91035bj1 1785g1 |
Quadratic twists by: -3 17 |