Atkin-Lehner |
2- 3- 7+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
126882bk |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-4439854944 = -1 · 25 · 39 · 7 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 1 -6 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,157,3075] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:54:1] |
Generators of the group modulo torsion |
j |
590589719/6090336 |
j-invariant |
L |
7.8438919799705 |
L(r)(E,1)/r! |
Ω |
1.0142714178659 |
Real period |
R |
0.38667617967679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050556 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42294c1 |
Quadratic twists by: -3 |