Atkin-Lehner |
2- 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
14508g |
Isogeny class |
Conductor |
14508 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-2064283478330112 = -1 · 28 · 36 · 135 · 313 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 -1 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2448,-2186460] |
[a1,a2,a3,a4,a6] |
Generators |
[780:21690:1] |
Generators of the group modulo torsion |
j |
-8693415936/11061189763 |
j-invariant |
L |
5.9718022238329 |
L(r)(E,1)/r! |
Ω |
0.2100088154322 |
Real period |
R |
4.7393266258395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58032be1 1612a1 |
Quadratic twists by: -4 -3 |