Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30345x |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-646283409975 = -1 · 32 · 52 · 7 · 177 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 0 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-729,-39473] |
[a1,a2,a3,a4,a6] |
Generators |
[71868:51347:1728] |
Generators of the group modulo torsion |
j |
-1771561/26775 |
j-invariant |
L |
7.5246518319651 |
L(r)(E,1)/r! |
Ω |
0.39032664736202 |
Real period |
R |
4.8194581915042 |
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 |
91035bs1 1785e1 |
Quadratic twists by: -3 17 |