Atkin-Lehner |
2- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11248j |
Isogeny class |
Conductor |
11248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-13637255168 = -1 · 219 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 1 -2 -1 -2 -1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1224,17012] |
[a1,a2,a3,a4,a6] |
Generators |
[28:74:1] |
Generators of the group modulo torsion |
j |
-49552182217/3329408 |
j-invariant |
L |
4.1978202296347 |
L(r)(E,1)/r! |
Ω |
1.235548213745 |
Real period |
R |
0.84938414036284 |
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 |
1406b1 44992bh1 101232bb1 |
Quadratic twists by: -4 8 -3 |