Atkin-Lehner |
5+ 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
127925f |
Isogeny class |
Conductor |
127925 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
5370624 |
Modular degree for the optimal curve |
Δ |
-7746579160197171875 = -1 · 56 · 714 · 17 · 43 |
Discriminant |
Eigenvalues |
-1 -3 5+ 7- -2 1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-782205,-297854328] |
[a1,a2,a3,a4,a6] |
Generators |
[7518:643310:1] |
Generators of the group modulo torsion |
j |
-3387387875659176537/495781066252619 |
j-invariant |
L |
2.5865489805256 |
L(r)(E,1)/r! |
Ω |
0.079622654389465 |
Real period |
R |
2.3203634394719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000130441 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5117c1 |
Quadratic twists by: 5 |