Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5355h |
Isogeny class |
Conductor |
5355 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
1301265 = 37 · 5 · 7 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-338,2472] |
[a1,a2,a3,a4,a6] |
Generators |
[12:0:1] |
Generators of the group modulo torsion |
j |
5841725401/1785 |
j-invariant |
L |
2.1583300044608 |
L(r)(E,1)/r! |
Ω |
2.65898543277 |
Real period |
R |
1.6234237148207 |
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 |
85680dq1 1785g1 26775be1 37485bv1 |
Quadratic twists by: -4 -3 5 -7 |