Atkin-Lehner |
2- 3- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
19272f |
Isogeny class |
Conductor |
19272 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-61053696 = -1 · 28 · 33 · 112 · 73 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 11+ -4 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1457,20931] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:174:1] [13:66:1] |
Generators of the group modulo torsion |
j |
-1337089389568/238491 |
j-invariant |
L |
7.0418772491437 |
L(r)(E,1)/r! |
Ω |
1.9110149779867 |
Real period |
R |
0.30707404748525 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38544c1 57816f1 |
Quadratic twists by: -4 -3 |