Atkin-Lehner |
2+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
51376k |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11328 |
Modular degree for the optimal curve |
Δ |
-42744832 = -1 · 210 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 2 2 2 0 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,48,272] |
[a1,a2,a3,a4,a6] |
Generators |
[192:820:27] |
Generators of the group modulo torsion |
j |
5324/19 |
j-invariant |
L |
10.93175526181 |
L(r)(E,1)/r! |
Ω |
1.4416528195801 |
Real period |
R |
3.7913966224553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25688d1 51376h1 |
Quadratic twists by: -4 13 |