Atkin-Lehner |
2- 3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49818bg |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
63 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
20918777472 = 27 · 39 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 0 -6 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2810,56676] |
[a1,a2,a3,a4,a6] |
Generators |
[34:-44:1] [-322:2753:8] |
Generators of the group modulo torsion |
j |
6797436034681/57946752 |
j-invariant |
L |
12.376869519917 |
L(r)(E,1)/r! |
Ω |
1.2181292316926 |
Real period |
R |
0.16127865684245 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49818a1 |
Quadratic twists by: -19 |