Atkin-Lehner |
2+ 3+ 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19734f |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
-6934211856 = -1 · 24 · 32 · 115 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 11- 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-104,3984] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:68:1] |
Generators of the group modulo torsion |
j |
-126279339913/6934211856 |
j-invariant |
L |
1.9730207477642 |
L(r)(E,1)/r! |
Ω |
1.1001727814249 |
Real period |
R |
0.089668676642266 |
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 |
59202v1 |
Quadratic twists by: -3 |