Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
19404j |
Isogeny class |
Conductor |
19404 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-319527515881728 = -1 · 28 · 39 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19551,1358966] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:1476:1] |
Generators of the group modulo torsion |
j |
-768208/297 |
j-invariant |
L |
4.398446670078 |
L(r)(E,1)/r! |
Ω |
0.51027598809373 |
Real period |
R |
4.3098703179328 |
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 |
77616er1 6468a1 19404s1 |
Quadratic twists by: -4 -3 -7 |