Atkin-Lehner |
2+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
11096a |
Isogeny class |
Conductor |
11096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1504 |
Modular degree for the optimal curve |
Δ |
-355072 = -1 · 28 · 19 · 73 |
Discriminant |
Eigenvalues |
2+ -2 0 -4 0 1 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73,219] |
[a1,a2,a3,a4,a6] |
Generators |
[106:-335:8] [-5:22:1] |
Generators of the group modulo torsion |
j |
-170368000/1387 |
j-invariant |
L |
4.3367048705088 |
L(r)(E,1)/r! |
Ω |
3.0428550602112 |
Real period |
R |
0.35630228721831 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22192a1 88768i1 99864l1 |
Quadratic twists by: -4 8 -3 |