Atkin-Lehner |
2+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1672a |
Isogeny class |
Conductor |
1672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-68934981632 = -1 · 211 · 116 · 19 |
Discriminant |
Eigenvalues |
2+ 1 2 -3 11+ -1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5192,142832] |
[a1,a2,a3,a4,a6] |
Generators |
[442:1331:8] |
Generators of the group modulo torsion |
j |
-7559297810066/33659659 |
j-invariant |
L |
3.3034002544892 |
L(r)(E,1)/r! |
Ω |
1.1029620503107 |
Real period |
R |
1.4975131073452 |
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 |
3344b1 13376j1 15048g1 41800n1 |
Quadratic twists by: -4 8 -3 5 |